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Finding the Fourth Proportional to 16,464.67, 22,715.12 and 10,802.57

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Solution

The fourth proportional to 16,464.67, 22,715.12 and 10,802.57 is: 14,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.67 : 22,715.12 = 10,802.57 : x
  2. Step 2: Convert to fraction form
    16,464.67/22,715.12 = 10,802.57/x
  3. Step 3: Cross multiply
    16,464.67x = 22,715.12 × 10,802.57
  4. Step 4: Simplify right side
    16,464.67x = 245,381,587.29
  5. Step 5: Solve for x
    x = 245,381,587.29/16,464.67
  6. Step 6: Final answer
    x = 14,903.53

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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.