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Finding the Fourth Proportional to 29,587.98, 40,831.14 and 16,159.20

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Solution

The fourth proportional to 29,587.98, 40,831.14 and 16,159.20 is: 22,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,587.98 : 40,831.14 = 16,159.20 : x
  2. Step 2: Convert to fraction form
    29,587.98/40,831.14 = 16,159.20/x
  3. Step 3: Cross multiply
    29,587.98x = 40,831.14 × 16,159.20
  4. Step 4: Simplify right side
    29,587.98x = 659,798,374.07
  5. Step 5: Solve for x
    x = 659,798,374.07/29,587.98
  6. Step 6: Final answer
    x = 22,299.54

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