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Finding the Fourth Proportional to 15,646.10, 23,461.79 and 9,074.16

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Solution

The fourth proportional to 15,646.10, 23,461.79 and 9,074.16 is: 13,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.10 : 23,461.79 = 9,074.16 : x
  2. Step 2: Convert to fraction form
    15,646.10/23,461.79 = 9,074.16/x
  3. Step 3: Cross multiply
    15,646.10x = 23,461.79 × 9,074.16
  4. Step 4: Simplify right side
    15,646.10x = 212,895,990.98
  5. Step 5: Solve for x
    x = 212,895,990.98/15,646.10
  6. Step 6: Final answer
    x = 13,606.97

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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.