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Finding the Fourth Proportional to 15,142.32, 22,707.27 and 8,914.77

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Solution

The fourth proportional to 15,142.32, 22,707.27 and 8,914.77 is: 13,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.32 : 22,707.27 = 8,914.77 : x
  2. Step 2: Convert to fraction form
    15,142.32/22,707.27 = 8,914.77/x
  3. Step 3: Cross multiply
    15,142.32x = 22,707.27 × 8,914.77
  4. Step 4: Simplify right side
    15,142.32x = 202,430,089.38
  5. Step 5: Solve for x
    x = 202,430,089.38/15,142.32
  6. Step 6: Final answer
    x = 13,368.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.