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Finding the Fourth Proportional to 29,596.16, 40,841.06 and 16,164.74

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Solution

The fourth proportional to 29,596.16, 40,841.06 and 16,164.74 is: 22,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,596.16 : 40,841.06 = 16,164.74 : x
  2. Step 2: Convert to fraction form
    29,596.16/40,841.06 = 16,164.74/x
  3. Step 3: Cross multiply
    29,596.16x = 40,841.06 × 16,164.74
  4. Step 4: Simplify right side
    29,596.16x = 660,184,831.20
  5. Step 5: Solve for x
    x = 660,184,831.20/29,596.16
  6. Step 6: Final answer
    x = 22,306.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.