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Finding the Fourth Proportional to 21,258.18, 31,886.46 and 8,775

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Solution

The fourth proportional to 21,258.18, 31,886.46 and 8,775 is: 13,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258.18 : 31,886.46 = 8,775 : x
  2. Step 2: Convert to fraction form
    21,258.18/31,886.46 = 8,775/x
  3. Step 3: Cross multiply
    21,258.18x = 31,886.46 × 8,775
  4. Step 4: Simplify right side
    21,258.18x = 279,803,686.50
  5. Step 5: Solve for x
    x = 279,803,686.50/21,258.18
  6. Step 6: Final answer
    x = 13,162.17

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Why These Related Problems?

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