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Finding the Fourth Proportional to 29,582.74, 40,827.14 and 17,646.08

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Solution

The fourth proportional to 29,582.74, 40,827.14 and 17,646.08 is: 24,353.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,582.74 : 40,827.14 = 17,646.08 : x
  2. Step 2: Convert to fraction form
    29,582.74/40,827.14 = 17,646.08/x
  3. Step 3: Cross multiply
    29,582.74x = 40,827.14 × 17,646.08
  4. Step 4: Simplify right side
    29,582.74x = 720,438,850.69
  5. Step 5: Solve for x
    x = 720,438,850.69/29,582.74
  6. Step 6: Final answer
    x = 24,353.35

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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.