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Finding the Fourth Proportional to 16,580.16, 24,878.88 and 7,344

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Solution

The fourth proportional to 16,580.16, 24,878.88 and 7,344 is: 11,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.16 : 24,878.88 = 7,344 : x
  2. Step 2: Convert to fraction form
    16,580.16/24,878.88 = 7,344/x
  3. Step 3: Cross multiply
    16,580.16x = 24,878.88 × 7,344
  4. Step 4: Simplify right side
    16,580.16x = 182,710,494.72
  5. Step 5: Solve for x
    x = 182,710,494.72/16,580.16
  6. Step 6: Final answer
    x = 11,019.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.