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Finding the Fourth Proportional to 16,434.40, 24,654.10 and 6,045.34

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Solution

The fourth proportional to 16,434.40, 24,654.10 and 6,045.34 is: 9,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.40 : 24,654.10 = 6,045.34 : x
  2. Step 2: Convert to fraction form
    16,434.40/24,654.10 = 6,045.34/x
  3. Step 3: Cross multiply
    16,434.40x = 24,654.10 × 6,045.34
  4. Step 4: Simplify right side
    16,434.40x = 149,042,416.89
  5. Step 5: Solve for x
    x = 149,042,416.89/16,434.40
  6. Step 6: Final answer
    x = 9,068.93

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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.