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Finding the Fourth Proportional to 21,258, 31,888.80 and 7,934.64

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Solution

The fourth proportional to 21,258, 31,888.80 and 7,934.64 is: 11,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,258 : 31,888.80 = 7,934.64 : x
  2. Step 2: Convert to fraction form
    21,258/31,888.80 = 7,934.64/x
  3. Step 3: Cross multiply
    21,258x = 31,888.80 × 7,934.64
  4. Step 4: Simplify right side
    21,258x = 253,026,148.03
  5. Step 5: Solve for x
    x = 253,026,148.03/21,258
  6. Step 6: Final answer
    x = 11,902.63

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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.