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Finding the Fourth Proportional to 15,708.59, 23,564.60 and 6,817.81

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Solution

The fourth proportional to 15,708.59, 23,564.60 and 6,817.81 is: 10,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,708.59 : 23,564.60 = 6,817.81 : x
  2. Step 2: Convert to fraction form
    15,708.59/23,564.60 = 6,817.81/x
  3. Step 3: Cross multiply
    15,708.59x = 23,564.60 × 6,817.81
  4. Step 4: Simplify right side
    15,708.59x = 160,658,830.66
  5. Step 5: Solve for x
    x = 160,658,830.66/15,708.59
  6. Step 6: Final answer
    x = 10,227.45

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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.