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Finding the Fourth Proportional to 12,312.69, 18,470.63 and 5,647.58

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Solution

The fourth proportional to 12,312.69, 18,470.63 and 5,647.58 is: 8,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.69 : 18,470.63 = 5,647.58 : x
  2. Step 2: Convert to fraction form
    12,312.69/18,470.63 = 5,647.58/x
  3. Step 3: Cross multiply
    12,312.69x = 18,470.63 × 5,647.58
  4. Step 4: Simplify right side
    12,312.69x = 104,314,319.84
  5. Step 5: Solve for x
    x = 104,314,319.84/12,312.69
  6. Step 6: Final answer
    x = 8,472.10

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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.