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Finding the Fourth Proportional to 13,262.48, 19,897.76 and 8,261.52

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Solution

The fourth proportional to 13,262.48, 19,897.76 and 8,261.52 is: 12,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.48 : 19,897.76 = 8,261.52 : x
  2. Step 2: Convert to fraction form
    13,262.48/19,897.76 = 8,261.52/x
  3. Step 3: Cross multiply
    13,262.48x = 19,897.76 × 8,261.52
  4. Step 4: Simplify right side
    13,262.48x = 164,385,742.20
  5. Step 5: Solve for x
    x = 164,385,742.20/13,262.48
  6. Step 6: Final answer
    x = 12,394.80

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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.