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Finding the Fourth Proportional to 24,788.64, 37,177.50 and 7,259.84

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Solution

The fourth proportional to 24,788.64, 37,177.50 and 7,259.84 is: 10,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788.64 : 37,177.50 = 7,259.84 : x
  2. Step 2: Convert to fraction form
    24,788.64/37,177.50 = 7,259.84/x
  3. Step 3: Cross multiply
    24,788.64x = 37,177.50 × 7,259.84
  4. Step 4: Simplify right side
    24,788.64x = 269,902,701.60
  5. Step 5: Solve for x
    x = 269,902,701.60/24,788.64
  6. Step 6: Final answer
    x = 10,888.16

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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.