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Finding the Fourth Proportional to 15,292, 22,941.30 and 4,761.81

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Solution

The fourth proportional to 15,292, 22,941.30 and 4,761.81 is: 7,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,292 : 22,941.30 = 4,761.81 : x
  2. Step 2: Convert to fraction form
    15,292/22,941.30 = 4,761.81/x
  3. Step 3: Cross multiply
    15,292x = 22,941.30 × 4,761.81
  4. Step 4: Simplify right side
    15,292x = 109,242,111.75
  5. Step 5: Solve for x
    x = 109,242,111.75/15,292
  6. Step 6: Final answer
    x = 7,143.74

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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.