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Finding the Fourth Proportional to 15,716.88, 21,686.40 and 9,345.60

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Solution

The fourth proportional to 15,716.88, 21,686.40 and 9,345.60 is: 12,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.88 : 21,686.40 = 9,345.60 : x
  2. Step 2: Convert to fraction form
    15,716.88/21,686.40 = 9,345.60/x
  3. Step 3: Cross multiply
    15,716.88x = 21,686.40 × 9,345.60
  4. Step 4: Simplify right side
    15,716.88x = 202,672,419.84
  5. Step 5: Solve for x
    x = 202,672,419.84/15,716.88
  6. Step 6: Final answer
    x = 12,895.21

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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.