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Finding the Fourth Proportional to 15,175.84, 22,772.40 and 12,117.28

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Solution

The fourth proportional to 15,175.84, 22,772.40 and 12,117.28 is: 18,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.84 : 22,772.40 = 12,117.28 : x
  2. Step 2: Convert to fraction form
    15,175.84/22,772.40 = 12,117.28/x
  3. Step 3: Cross multiply
    15,175.84x = 22,772.40 × 12,117.28
  4. Step 4: Simplify right side
    15,175.84x = 275,939,547.07
  5. Step 5: Solve for x
    x = 275,939,547.07/15,175.84
  6. Step 6: Final answer
    x = 18,182.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.