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Finding the Fourth Proportional to 21,267.70, 31,901.95 and 9,258.64

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Solution

The fourth proportional to 21,267.70, 31,901.95 and 9,258.64 is: 13,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267.70 : 31,901.95 = 9,258.64 : x
  2. Step 2: Convert to fraction form
    21,267.70/31,901.95 = 9,258.64/x
  3. Step 3: Cross multiply
    21,267.70x = 31,901.95 × 9,258.64
  4. Step 4: Simplify right side
    21,267.70x = 295,368,670.35
  5. Step 5: Solve for x
    x = 295,368,670.35/21,267.70
  6. Step 6: Final answer
    x = 13,888.13

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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.