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Finding the Fourth Proportional to 16,348.48, 24,509.72 and 7,108

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Solution

The fourth proportional to 16,348.48, 24,509.72 and 7,108 is: 10,656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.48 : 24,509.72 = 7,108 : x
  2. Step 2: Convert to fraction form
    16,348.48/24,509.72 = 7,108/x
  3. Step 3: Cross multiply
    16,348.48x = 24,509.72 × 7,108
  4. Step 4: Simplify right side
    16,348.48x = 174,215,089.76
  5. Step 5: Solve for x
    x = 174,215,089.76/16,348.48
  6. Step 6: Final answer
    x = 10,656.35

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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.