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Finding the Fourth Proportional to 30,966.24, 42,726.24 and 17,534.48

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Solution

The fourth proportional to 30,966.24, 42,726.24 and 17,534.48 is: 24,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966.24 : 42,726.24 = 17,534.48 : x
  2. Step 2: Convert to fraction form
    30,966.24/42,726.24 = 17,534.48/x
  3. Step 3: Cross multiply
    30,966.24x = 42,726.24 × 17,534.48
  4. Step 4: Simplify right side
    30,966.24x = 749,182,400.76
  5. Step 5: Solve for x
    x = 749,182,400.76/30,966.24
  6. Step 6: Final answer
    x = 24,193.52

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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.