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Finding the Fourth Proportional to 15,617.46, 21,544.65 and 9,646.98

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Solution

The fourth proportional to 15,617.46, 21,544.65 and 9,646.98 is: 13,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617.46 : 21,544.65 = 9,646.98 : x
  2. Step 2: Convert to fraction form
    15,617.46/21,544.65 = 9,646.98/x
  3. Step 3: Cross multiply
    15,617.46x = 21,544.65 × 9,646.98
  4. Step 4: Simplify right side
    15,617.46x = 207,840,807.66
  5. Step 5: Solve for x
    x = 207,840,807.66/15,617.46
  6. Step 6: Final answer
    x = 13,308.23

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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.