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Finding the Fourth Proportional to 16,523.47, 24,666.35 and 14,158

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Solution

The fourth proportional to 16,523.47, 24,666.35 and 14,158 is: 21,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.47 : 24,666.35 = 14,158 : x
  2. Step 2: Convert to fraction form
    16,523.47/24,666.35 = 14,158/x
  3. Step 3: Cross multiply
    16,523.47x = 24,666.35 × 14,158
  4. Step 4: Simplify right side
    16,523.47x = 349,226,183.30
  5. Step 5: Solve for x
    x = 349,226,183.30/16,523.47
  6. Step 6: Final answer
    x = 21,135.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.