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Finding the Fourth Proportional to 16,345.46, 24,526.47 and 7,459.80

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Solution

The fourth proportional to 16,345.46, 24,526.47 and 7,459.80 is: 11,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.46 : 24,526.47 = 7,459.80 : x
  2. Step 2: Convert to fraction form
    16,345.46/24,526.47 = 7,459.80/x
  3. Step 3: Cross multiply
    16,345.46x = 24,526.47 × 7,459.80
  4. Step 4: Simplify right side
    16,345.46x = 182,962,560.91
  5. Step 5: Solve for x
    x = 182,962,560.91/16,345.46
  6. Step 6: Final answer
    x = 11,193.48

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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.