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Finding the Fourth Proportional to 12,897.90, 19,348.65 and 5,502.30

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Solution

The fourth proportional to 12,897.90, 19,348.65 and 5,502.30 is: 8,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.90 : 19,348.65 = 5,502.30 : x
  2. Step 2: Convert to fraction form
    12,897.90/19,348.65 = 5,502.30/x
  3. Step 3: Cross multiply
    12,897.90x = 19,348.65 × 5,502.30
  4. Step 4: Simplify right side
    12,897.90x = 106,462,076.90
  5. Step 5: Solve for x
    x = 106,462,076.90/12,897.90
  6. Step 6: Final answer
    x = 8,254.22

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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.