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Finding the Fourth Proportional to 30,440.64, 42,007.68 and 17,013.12

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Solution

The fourth proportional to 30,440.64, 42,007.68 and 17,013.12 is: 23,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,440.64 : 42,007.68 = 17,013.12 : x
  2. Step 2: Convert to fraction form
    30,440.64/42,007.68 = 17,013.12/x
  3. Step 3: Cross multiply
    30,440.64x = 42,007.68 × 17,013.12
  4. Step 4: Simplify right side
    30,440.64x = 714,681,700.76
  5. Step 5: Solve for x
    x = 714,681,700.76/30,440.64
  6. Step 6: Final answer
    x = 23,477.88

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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.