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Finding the Fourth Proportional to 30,955.60, 42,715.20 and 17,344.16

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Solution

The fourth proportional to 30,955.60, 42,715.20 and 17,344.16 is: 23,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,955.60 : 42,715.20 = 17,344.16 : x
  2. Step 2: Convert to fraction form
    30,955.60/42,715.20 = 17,344.16/x
  3. Step 3: Cross multiply
    30,955.60x = 42,715.20 × 17,344.16
  4. Step 4: Simplify right side
    30,955.60x = 740,859,263.23
  5. Step 5: Solve for x
    x = 740,859,263.23/30,955.60
  6. Step 6: Final answer
    x = 23,932.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.