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Finding the Fourth Proportional to 10,406.61, 15,568.46 and 9,036.09

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Solution

The fourth proportional to 10,406.61, 15,568.46 and 9,036.09 is: 13,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.61 : 15,568.46 = 9,036.09 : x
  2. Step 2: Convert to fraction form
    10,406.61/15,568.46 = 9,036.09/x
  3. Step 3: Cross multiply
    10,406.61x = 15,568.46 × 9,036.09
  4. Step 4: Simplify right side
    10,406.61x = 140,678,005.72
  5. Step 5: Solve for x
    x = 140,678,005.72/10,406.61
  6. Step 6: Final answer
    x = 13,518.14

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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.