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Finding the Fourth Proportional to 11,468.96, 17,125.79 and 9,102.42

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Solution

The fourth proportional to 11,468.96, 17,125.79 and 9,102.42 is: 13,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.96 : 17,125.79 = 9,102.42 : x
  2. Step 2: Convert to fraction form
    11,468.96/17,125.79 = 9,102.42/x
  3. Step 3: Cross multiply
    11,468.96x = 17,125.79 × 9,102.42
  4. Step 4: Simplify right side
    11,468.96x = 155,886,133.41
  5. Step 5: Solve for x
    x = 155,886,133.41/11,468.96
  6. Step 6: Final answer
    x = 13,592.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.