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Finding the Fourth Proportional to 15,342.75, 23,017.77 and 4,954.50

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Solution

The fourth proportional to 15,342.75, 23,017.77 and 4,954.50 is: 7,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.75 : 23,017.77 = 4,954.50 : x
  2. Step 2: Convert to fraction form
    15,342.75/23,017.77 = 4,954.50/x
  3. Step 3: Cross multiply
    15,342.75x = 23,017.77 × 4,954.50
  4. Step 4: Simplify right side
    15,342.75x = 114,041,541.47
  5. Step 5: Solve for x
    x = 114,041,541.47/15,342.75
  6. Step 6: Final answer
    x = 7,432.93

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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.