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Finding the Fourth Proportional to 13,005.14, 17,909.28 and 11,302.88

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Solution

The fourth proportional to 13,005.14, 17,909.28 and 11,302.88 is: 15,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.14 : 17,909.28 = 11,302.88 : x
  2. Step 2: Convert to fraction form
    13,005.14/17,909.28 = 11,302.88/x
  3. Step 3: Cross multiply
    13,005.14x = 17,909.28 × 11,302.88
  4. Step 4: Simplify right side
    13,005.14x = 202,426,442.73
  5. Step 5: Solve for x
    x = 202,426,442.73/13,005.14
  6. Step 6: Final answer
    x = 15,565.11

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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.