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Finding the Fourth Proportional to 13,088.40, 19,603.17 and 10,157.82

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Solution

The fourth proportional to 13,088.40, 19,603.17 and 10,157.82 is: 15,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,088.40 : 19,603.17 = 10,157.82 : x
  2. Step 2: Convert to fraction form
    13,088.40/19,603.17 = 10,157.82/x
  3. Step 3: Cross multiply
    13,088.40x = 19,603.17 × 10,157.82
  4. Step 4: Simplify right side
    13,088.40x = 199,125,472.29
  5. Step 5: Solve for x
    x = 199,125,472.29/13,088.40
  6. Step 6: Final answer
    x = 15,213.89

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