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Finding the Fourth Proportional to 15,712.92, 23,577.06 and 7,393.77

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Solution

The fourth proportional to 15,712.92, 23,577.06 and 7,393.77 is: 11,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.92 : 23,577.06 = 7,393.77 : x
  2. Step 2: Convert to fraction form
    15,712.92/23,577.06 = 7,393.77/x
  3. Step 3: Cross multiply
    15,712.92x = 23,577.06 × 7,393.77
  4. Step 4: Simplify right side
    15,712.92x = 174,323,358.92
  5. Step 5: Solve for x
    x = 174,323,358.92/15,712.92
  6. Step 6: Final answer
    x = 11,094.27

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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.