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Finding the Fourth Proportional to 16,116.30, 24,172.63 and 4,428

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Solution

The fourth proportional to 16,116.30, 24,172.63 and 4,428 is: 6,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.30 : 24,172.63 = 4,428 : x
  2. Step 2: Convert to fraction form
    16,116.30/24,172.63 = 4,428/x
  3. Step 3: Cross multiply
    16,116.30x = 24,172.63 × 4,428
  4. Step 4: Simplify right side
    16,116.30x = 107,036,394.57
  5. Step 5: Solve for x
    x = 107,036,394.57/16,116.30
  6. Step 6: Final answer
    x = 6,641.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.