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Finding the Fourth Proportional to 16,256.16, 22,420.08 and 10,948.80

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Solution

The fourth proportional to 16,256.16, 22,420.08 and 10,948.80 is: 15,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.16 : 22,420.08 = 10,948.80 : x
  2. Step 2: Convert to fraction form
    16,256.16/22,420.08 = 10,948.80/x
  3. Step 3: Cross multiply
    16,256.16x = 22,420.08 × 10,948.80
  4. Step 4: Simplify right side
    16,256.16x = 245,472,971.90
  5. Step 5: Solve for x
    x = 245,472,971.90/16,256.16
  6. Step 6: Final answer
    x = 15,100.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.