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Finding the Fourth Proportional to 15,655.84, 21,596.80 and 9,685.60

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Solution

The fourth proportional to 15,655.84, 21,596.80 and 9,685.60 is: 13,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,655.84 : 21,596.80 = 9,685.60 : x
  2. Step 2: Convert to fraction form
    15,655.84/21,596.80 = 9,685.60/x
  3. Step 3: Cross multiply
    15,655.84x = 21,596.80 × 9,685.60
  4. Step 4: Simplify right side
    15,655.84x = 209,177,966.08
  5. Step 5: Solve for x
    x = 209,177,966.08/15,655.84
  6. Step 6: Final answer
    x = 13,361.02

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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.