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Finding the Fourth Proportional to 10,232.40, 15,256.48 and 9,977.28

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Solution

The fourth proportional to 10,232.40, 15,256.48 and 9,977.28 is: 14,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.40 : 15,256.48 = 9,977.28 : x
  2. Step 2: Convert to fraction form
    10,232.40/15,256.48 = 9,977.28/x
  3. Step 3: Cross multiply
    10,232.40x = 15,256.48 × 9,977.28
  4. Step 4: Simplify right side
    10,232.40x = 152,218,172.77
  5. Step 5: Solve for x
    x = 152,218,172.77/10,232.40
  6. Step 6: Final answer
    x = 14,876.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.