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Finding the Fourth Proportional to 16,499.32, 22,772 and 12,513.72

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Solution

The fourth proportional to 16,499.32, 22,772 and 12,513.72 is: 17,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.32 : 22,772 = 12,513.72 : x
  2. Step 2: Convert to fraction form
    16,499.32/22,772 = 12,513.72/x
  3. Step 3: Cross multiply
    16,499.32x = 22,772 × 12,513.72
  4. Step 4: Simplify right side
    16,499.32x = 284,962,431.84
  5. Step 5: Solve for x
    x = 284,962,431.84/16,499.32
  6. Step 6: Final answer
    x = 17,271.16

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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.