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Finding the Fourth Proportional to 22,653, 31,261.14 and 12,717

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Solution

The fourth proportional to 22,653, 31,261.14 and 12,717 is: 17,549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653 : 31,261.14 = 12,717 : x
  2. Step 2: Convert to fraction form
    22,653/31,261.14 = 12,717/x
  3. Step 3: Cross multiply
    22,653x = 31,261.14 × 12,717
  4. Step 4: Simplify right side
    22,653x = 397,547,917.38
  5. Step 5: Solve for x
    x = 397,547,917.38/22,653
  6. Step 6: Final answer
    x = 17,549.46

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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.