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Finding the Fourth Proportional to 16,452.47, 24,656.83 and 9,434.63

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Solution

The fourth proportional to 16,452.47, 24,656.83 and 9,434.63 is: 14,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.47 : 24,656.83 = 9,434.63 : x
  2. Step 2: Convert to fraction form
    16,452.47/24,656.83 = 9,434.63/x
  3. Step 3: Cross multiply
    16,452.47x = 24,656.83 × 9,434.63
  4. Step 4: Simplify right side
    16,452.47x = 232,628,068.02
  5. Step 5: Solve for x
    x = 232,628,068.02/16,452.47
  6. Step 6: Final answer
    x = 14,139.40

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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.