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Finding the Fourth Proportional to 15,497.68, 21,385.20 and 9,208.84

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Solution

The fourth proportional to 15,497.68, 21,385.20 and 9,208.84 is: 12,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.68 : 21,385.20 = 9,208.84 : x
  2. Step 2: Convert to fraction form
    15,497.68/21,385.20 = 9,208.84/x
  3. Step 3: Cross multiply
    15,497.68x = 21,385.20 × 9,208.84
  4. Step 4: Simplify right side
    15,497.68x = 196,932,885.17
  5. Step 5: Solve for x
    x = 196,932,885.17/15,497.68
  6. Step 6: Final answer
    x = 12,707.25

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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.