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Finding the Fourth Proportional to 16,989.84, 25,480.92 and 6,457.68

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Solution

The fourth proportional to 16,989.84, 25,480.92 and 6,457.68 is: 9,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,989.84 : 25,480.92 = 6,457.68 : x
  2. Step 2: Convert to fraction form
    16,989.84/25,480.92 = 6,457.68/x
  3. Step 3: Cross multiply
    16,989.84x = 25,480.92 × 6,457.68
  4. Step 4: Simplify right side
    16,989.84x = 164,547,627.47
  5. Step 5: Solve for x
    x = 164,547,627.47/16,989.84
  6. Step 6: Final answer
    x = 9,685.06

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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.