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Finding the Fourth Proportional to 16,454.34, 24,681.50 and 7,695.41

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Solution

The fourth proportional to 16,454.34, 24,681.50 and 7,695.41 is: 11,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.34 : 24,681.50 = 7,695.41 : x
  2. Step 2: Convert to fraction form
    16,454.34/24,681.50 = 7,695.41/x
  3. Step 3: Cross multiply
    16,454.34x = 24,681.50 × 7,695.41
  4. Step 4: Simplify right side
    16,454.34x = 189,934,100.03
  5. Step 5: Solve for x
    x = 189,934,100.03/16,454.34
  6. Step 6: Final answer
    x = 11,543.10

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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.