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Finding the Fourth Proportional to 12,897.70, 19,347.54 and 5,502.22

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Solution

The fourth proportional to 12,897.70, 19,347.54 and 5,502.22 is: 8,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.70 : 19,347.54 = 5,502.22 : x
  2. Step 2: Convert to fraction form
    12,897.70/19,347.54 = 5,502.22/x
  3. Step 3: Cross multiply
    12,897.70x = 19,347.54 × 5,502.22
  4. Step 4: Simplify right side
    12,897.70x = 106,454,421.54
  5. Step 5: Solve for x
    x = 106,454,421.54/12,897.70
  6. Step 6: Final answer
    x = 8,253.75

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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.