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Finding the Fourth Proportional to 30,569.60, 42,188.08 and 17,141.74

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Solution

The fourth proportional to 30,569.60, 42,188.08 and 17,141.74 is: 23,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,569.60 : 42,188.08 = 17,141.74 : x
  2. Step 2: Convert to fraction form
    30,569.60/42,188.08 = 17,141.74/x
  3. Step 3: Cross multiply
    30,569.60x = 42,188.08 × 17,141.74
  4. Step 4: Simplify right side
    30,569.60x = 723,177,098.46
  5. Step 5: Solve for x
    x = 723,177,098.46/30,569.60
  6. Step 6: Final answer
    x = 23,656.74

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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.