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Finding the Fourth Proportional to 22,547.96, 31,118.52 and 12,988.18

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Solution

The fourth proportional to 22,547.96, 31,118.52 and 12,988.18 is: 17,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.96 : 31,118.52 = 12,988.18 : x
  2. Step 2: Convert to fraction form
    22,547.96/31,118.52 = 12,988.18/x
  3. Step 3: Cross multiply
    22,547.96x = 31,118.52 × 12,988.18
  4. Step 4: Simplify right side
    22,547.96x = 404,172,939.09
  5. Step 5: Solve for x
    x = 404,172,939.09/22,547.96
  6. Step 6: Final answer
    x = 17,925.03

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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.