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Finding the Fourth Proportional to 15,535.44, 21,440.16 and 9,569.16

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Solution

The fourth proportional to 15,535.44, 21,440.16 and 9,569.16 is: 13,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535.44 : 21,440.16 = 9,569.16 : x
  2. Step 2: Convert to fraction form
    15,535.44/21,440.16 = 9,569.16/x
  3. Step 3: Cross multiply
    15,535.44x = 21,440.16 × 9,569.16
  4. Step 4: Simplify right side
    15,535.44x = 205,164,321.47
  5. Step 5: Solve for x
    x = 205,164,321.47/15,535.44
  6. Step 6: Final answer
    x = 13,206.21

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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.