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Finding the Fourth Proportional to 30,921.48, 42,671.16 and 16,774.20

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Solution

The fourth proportional to 30,921.48, 42,671.16 and 16,774.20 is: 23,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.48 : 42,671.16 = 16,774.20 : x
  2. Step 2: Convert to fraction form
    30,921.48/42,671.16 = 16,774.20/x
  3. Step 3: Cross multiply
    30,921.48x = 42,671.16 × 16,774.20
  4. Step 4: Simplify right side
    30,921.48x = 715,774,572.07
  5. Step 5: Solve for x
    x = 715,774,572.07/30,921.48
  6. Step 6: Final answer
    x = 23,148.13

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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.