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Finding the Fourth Proportional to 16,590.16, 24,893.88 and 7,354

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Solution

The fourth proportional to 16,590.16, 24,893.88 and 7,354 is: 11,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.16 : 24,893.88 = 7,354 : x
  2. Step 2: Convert to fraction form
    16,590.16/24,893.88 = 7,354/x
  3. Step 3: Cross multiply
    16,590.16x = 24,893.88 × 7,354
  4. Step 4: Simplify right side
    16,590.16x = 183,069,593.52
  5. Step 5: Solve for x
    x = 183,069,593.52/16,590.16
  6. Step 6: Final answer
    x = 11,034.83

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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.