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Finding the Fourth Proportional to 17,534.40, 26,258.76 and 9,221.40

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Solution

The fourth proportional to 17,534.40, 26,258.76 and 9,221.40 is: 13,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.40 : 26,258.76 = 9,221.40 : x
  2. Step 2: Convert to fraction form
    17,534.40/26,258.76 = 9,221.40/x
  3. Step 3: Cross multiply
    17,534.40x = 26,258.76 × 9,221.40
  4. Step 4: Simplify right side
    17,534.40x = 242,142,529.46
  5. Step 5: Solve for x
    x = 242,142,529.46/17,534.40
  6. Step 6: Final answer
    x = 13,809.57

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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.