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Finding the Fourth Proportional to 12,897.63, 19,347.48 and 5,502.16

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Solution

The fourth proportional to 12,897.63, 19,347.48 and 5,502.16 is: 8,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.63 : 19,347.48 = 5,502.16 : x
  2. Step 2: Convert to fraction form
    12,897.63/19,347.48 = 5,502.16/x
  3. Step 3: Cross multiply
    12,897.63x = 19,347.48 × 5,502.16
  4. Step 4: Simplify right side
    12,897.63x = 106,452,954.74
  5. Step 5: Solve for x
    x = 106,452,954.74/12,897.63
  6. Step 6: Final answer
    x = 8,253.68

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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.