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Finding the Fourth Proportional to 13,687.32, 18,886.76 and 8,024

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Solution

The fourth proportional to 13,687.32, 18,886.76 and 8,024 is: 11,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.32 : 18,886.76 = 8,024 : x
  2. Step 2: Convert to fraction form
    13,687.32/18,886.76 = 8,024/x
  3. Step 3: Cross multiply
    13,687.32x = 18,886.76 × 8,024
  4. Step 4: Simplify right side
    13,687.32x = 151,547,362.24
  5. Step 5: Solve for x
    x = 151,547,362.24/13,687.32
  6. Step 6: Final answer
    x = 11,072.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.