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Finding the Fourth Proportional to 16,985.16, 25,476.48 and 5,298

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Solution

The fourth proportional to 16,985.16, 25,476.48 and 5,298 is: 7,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985.16 : 25,476.48 = 5,298 : x
  2. Step 2: Convert to fraction form
    16,985.16/25,476.48 = 5,298/x
  3. Step 3: Cross multiply
    16,985.16x = 25,476.48 × 5,298
  4. Step 4: Simplify right side
    16,985.16x = 134,974,391.04
  5. Step 5: Solve for x
    x = 134,974,391.04/16,985.16
  6. Step 6: Final answer
    x = 7,946.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.