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Finding the Fourth Proportional to 15,781.60, 23,661.60 and 7,465.60

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Solution

The fourth proportional to 15,781.60, 23,661.60 and 7,465.60 is: 11,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.60 : 23,661.60 = 7,465.60 : x
  2. Step 2: Convert to fraction form
    15,781.60/23,661.60 = 7,465.60/x
  3. Step 3: Cross multiply
    15,781.60x = 23,661.60 × 7,465.60
  4. Step 4: Simplify right side
    15,781.60x = 176,648,040.96
  5. Step 5: Solve for x
    x = 176,648,040.96/15,781.60
  6. Step 6: Final answer
    x = 11,193.29

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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.