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Finding the Fourth Proportional to 22,547.04, 31,114.88 and 12,474.88

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Solution

The fourth proportional to 22,547.04, 31,114.88 and 12,474.88 is: 17,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.04 : 31,114.88 = 12,474.88 : x
  2. Step 2: Convert to fraction form
    22,547.04/31,114.88 = 12,474.88/x
  3. Step 3: Cross multiply
    22,547.04x = 31,114.88 × 12,474.88
  4. Step 4: Simplify right side
    22,547.04x = 388,154,394.21
  5. Step 5: Solve for x
    x = 388,154,394.21/22,547.04
  6. Step 6: Final answer
    x = 17,215.31

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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.