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Finding the Fourth Proportional to 12,354.71, 17,048.22 and 7,048.50

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Solution

The fourth proportional to 12,354.71, 17,048.22 and 7,048.50 is: 9,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.71 : 17,048.22 = 7,048.50 : x
  2. Step 2: Convert to fraction form
    12,354.71/17,048.22 = 7,048.50/x
  3. Step 3: Cross multiply
    12,354.71x = 17,048.22 × 7,048.50
  4. Step 4: Simplify right side
    12,354.71x = 120,164,378.67
  5. Step 5: Solve for x
    x = 120,164,378.67/12,354.71
  6. Step 6: Final answer
    x = 9,726.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.