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Finding the Fourth Proportional to 14,113.26, 19,470 and 9,076.53

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Solution

The fourth proportional to 14,113.26, 19,470 and 9,076.53 is: 12,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.26 : 19,470 = 9,076.53 : x
  2. Step 2: Convert to fraction form
    14,113.26/19,470 = 9,076.53/x
  3. Step 3: Cross multiply
    14,113.26x = 19,470 × 9,076.53
  4. Step 4: Simplify right side
    14,113.26x = 176,720,039.10
  5. Step 5: Solve for x
    x = 176,720,039.10/14,113.26
  6. Step 6: Final answer
    x = 12,521.56

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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.