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Finding the Fourth Proportional to 22,547.80, 31,118.10 and 12,988.08

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Solution

The fourth proportional to 22,547.80, 31,118.10 and 12,988.08 is: 17,924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.80 : 31,118.10 = 12,988.08 : x
  2. Step 2: Convert to fraction form
    22,547.80/31,118.10 = 12,988.08/x
  3. Step 3: Cross multiply
    22,547.80x = 31,118.10 × 12,988.08
  4. Step 4: Simplify right side
    22,547.80x = 404,164,372.25
  5. Step 5: Solve for x
    x = 404,164,372.25/22,547.80
  6. Step 6: Final answer
    x = 17,924.78

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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.