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Finding the Fourth Proportional to 16,357.13, 24,535.54 and 6,989.17

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Solution

The fourth proportional to 16,357.13, 24,535.54 and 6,989.17 is: 10,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.13 : 24,535.54 = 6,989.17 : x
  2. Step 2: Convert to fraction form
    16,357.13/24,535.54 = 6,989.17/x
  3. Step 3: Cross multiply
    16,357.13x = 24,535.54 × 6,989.17
  4. Step 4: Simplify right side
    16,357.13x = 171,483,060.10
  5. Step 5: Solve for x
    x = 171,483,060.10/16,357.13
  6. Step 6: Final answer
    x = 10,483.69

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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.