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Finding the Fourth Proportional to 29,416.68, 40,590.45 and 16,839

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Solution

The fourth proportional to 29,416.68, 40,590.45 and 16,839 is: 23,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,416.68 : 40,590.45 = 16,839 : x
  2. Step 2: Convert to fraction form
    29,416.68/40,590.45 = 16,839/x
  3. Step 3: Cross multiply
    29,416.68x = 40,590.45 × 16,839
  4. Step 4: Simplify right side
    29,416.68x = 683,502,587.55
  5. Step 5: Solve for x
    x = 683,502,587.55/29,416.68
  6. Step 6: Final answer
    x = 23,235.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.