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Finding the Fourth Proportional to 15,584.28, 21,506.18 and 8,510.70

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Solution

The fourth proportional to 15,584.28, 21,506.18 and 8,510.70 is: 11,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.28 : 21,506.18 = 8,510.70 : x
  2. Step 2: Convert to fraction form
    15,584.28/21,506.18 = 8,510.70/x
  3. Step 3: Cross multiply
    15,584.28x = 21,506.18 × 8,510.70
  4. Step 4: Simplify right side
    15,584.28x = 183,032,646.13
  5. Step 5: Solve for x
    x = 183,032,646.13/15,584.28
  6. Step 6: Final answer
    x = 11,744.70

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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.