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Finding the Fourth Proportional to 12,553.76, 18,758.40 and 9,575.84

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Solution

The fourth proportional to 12,553.76, 18,758.40 and 9,575.84 is: 14,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,553.76 : 18,758.40 = 9,575.84 : x
  2. Step 2: Convert to fraction form
    12,553.76/18,758.40 = 9,575.84/x
  3. Step 3: Cross multiply
    12,553.76x = 18,758.40 × 9,575.84
  4. Step 4: Simplify right side
    12,553.76x = 179,627,437.06
  5. Step 5: Solve for x
    x = 179,627,437.06/12,553.76
  6. Step 6: Final answer
    x = 14,308.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.