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Finding the Fourth Proportional to 30,862.64, 42,590.67 and 16,715.60

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Solution

The fourth proportional to 30,862.64, 42,590.67 and 16,715.60 is: 23,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.64 : 42,590.67 = 16,715.60 : x
  2. Step 2: Convert to fraction form
    30,862.64/42,590.67 = 16,715.60/x
  3. Step 3: Cross multiply
    30,862.64x = 42,590.67 × 16,715.60
  4. Step 4: Simplify right side
    30,862.64x = 711,928,603.45
  5. Step 5: Solve for x
    x = 711,928,603.45/30,862.64
  6. Step 6: Final answer
    x = 23,067.65

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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.