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Finding the Fourth Proportional to 16,534.16, 24,799.08 and 7,298

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Solution

The fourth proportional to 16,534.16, 24,799.08 and 7,298 is: 10,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.16 : 24,799.08 = 7,298 : x
  2. Step 2: Convert to fraction form
    16,534.16/24,799.08 = 7,298/x
  3. Step 3: Cross multiply
    16,534.16x = 24,799.08 × 7,298
  4. Step 4: Simplify right side
    16,534.16x = 180,983,685.84
  5. Step 5: Solve for x
    x = 180,983,685.84/16,534.16
  6. Step 6: Final answer
    x = 10,946.05

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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.