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Finding the Fourth Proportional to 16,316, 22,529.04 and 12,797.36

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Solution

The fourth proportional to 16,316, 22,529.04 and 12,797.36 is: 17,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316 : 22,529.04 = 12,797.36 : x
  2. Step 2: Convert to fraction form
    16,316/22,529.04 = 12,797.36/x
  3. Step 3: Cross multiply
    16,316x = 22,529.04 × 12,797.36
  4. Step 4: Simplify right side
    16,316x = 288,312,235.33
  5. Step 5: Solve for x
    x = 288,312,235.33/16,316
  6. Step 6: Final answer
    x = 17,670.52

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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.