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Finding the Fourth Proportional to 22,876, 31,547.28 and 14,924.32

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Solution

The fourth proportional to 22,876, 31,547.28 and 14,924.32 is: 20,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876 : 31,547.28 = 14,924.32 : x
  2. Step 2: Convert to fraction form
    22,876/31,547.28 = 14,924.32/x
  3. Step 3: Cross multiply
    22,876x = 31,547.28 × 14,924.32
  4. Step 4: Simplify right side
    22,876x = 470,821,701.85
  5. Step 5: Solve for x
    x = 470,821,701.85/22,876
  6. Step 6: Final answer
    x = 20,581.47

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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.