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Finding the Fourth Proportional to 13,557.84, 18,710.28 and 7,589.76

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Solution

The fourth proportional to 13,557.84, 18,710.28 and 7,589.76 is: 10,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,557.84 : 18,710.28 = 7,589.76 : x
  2. Step 2: Convert to fraction form
    13,557.84/18,710.28 = 7,589.76/x
  3. Step 3: Cross multiply
    13,557.84x = 18,710.28 × 7,589.76
  4. Step 4: Simplify right side
    13,557.84x = 142,006,534.73
  5. Step 5: Solve for x
    x = 142,006,534.73/13,557.84
  6. Step 6: Final answer
    x = 10,474.13

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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.