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Finding the Fourth Proportional to 17,904.60, 24,715.80 and 10,829.25

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Solution

The fourth proportional to 17,904.60, 24,715.80 and 10,829.25 is: 14,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.60 : 24,715.80 = 10,829.25 : x
  2. Step 2: Convert to fraction form
    17,904.60/24,715.80 = 10,829.25/x
  3. Step 3: Cross multiply
    17,904.60x = 24,715.80 × 10,829.25
  4. Step 4: Simplify right side
    17,904.60x = 267,653,577.15
  5. Step 5: Solve for x
    x = 267,653,577.15/17,904.60
  6. Step 6: Final answer
    x = 14,948.87

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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.