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Finding the Fourth Proportional to 15,256.32, 22,865.64 and 9,010

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Solution

The fourth proportional to 15,256.32, 22,865.64 and 9,010 is: 13,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,256.32 : 22,865.64 = 9,010 : x
  2. Step 2: Convert to fraction form
    15,256.32/22,865.64 = 9,010/x
  3. Step 3: Cross multiply
    15,256.32x = 22,865.64 × 9,010
  4. Step 4: Simplify right side
    15,256.32x = 206,019,416.40
  5. Step 5: Solve for x
    x = 206,019,416.40/15,256.32
  6. Step 6: Final answer
    x = 13,503.87

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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.