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Finding the Fourth Proportional to 30,897.68, 42,638.36 and 17,468.49

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Solution

The fourth proportional to 30,897.68, 42,638.36 and 17,468.49 is: 24,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.68 : 42,638.36 = 17,468.49 : x
  2. Step 2: Convert to fraction form
    30,897.68/42,638.36 = 17,468.49/x
  3. Step 3: Cross multiply
    30,897.68x = 42,638.36 × 17,468.49
  4. Step 4: Simplify right side
    30,897.68x = 744,827,677.93
  5. Step 5: Solve for x
    x = 744,827,677.93/30,897.68
  6. Step 6: Final answer
    x = 24,106.26

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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.