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Finding the Fourth Proportional to 12,538.59, 17,303.59 and 9,008.40

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Solution

The fourth proportional to 12,538.59, 17,303.59 and 9,008.40 is: 12,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.59 : 17,303.59 = 9,008.40 : x
  2. Step 2: Convert to fraction form
    12,538.59/17,303.59 = 9,008.40/x
  3. Step 3: Cross multiply
    12,538.59x = 17,303.59 × 9,008.40
  4. Step 4: Simplify right side
    12,538.59x = 155,877,660.16
  5. Step 5: Solve for x
    x = 155,877,660.16/12,538.59
  6. Step 6: Final answer
    x = 12,431.83

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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.