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Finding the Fourth Proportional to 19,583, 29,357.08 and 12,565.04

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Solution

The fourth proportional to 19,583, 29,357.08 and 12,565.04 is: 18,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583 : 29,357.08 = 12,565.04 : x
  2. Step 2: Convert to fraction form
    19,583/29,357.08 = 12,565.04/x
  3. Step 3: Cross multiply
    19,583x = 29,357.08 × 12,565.04
  4. Step 4: Simplify right side
    19,583x = 368,872,884.48
  5. Step 5: Solve for x
    x = 368,872,884.48/19,583
  6. Step 6: Final answer
    x = 18,836.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.