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Finding the Fourth Proportional to 42,634.40, 63,915.14 and 16,358

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Solution

The fourth proportional to 42,634.40, 63,915.14 and 16,358 is: 24,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,634.40 : 63,915.14 = 16,358 : x
  2. Step 2: Convert to fraction form
    42,634.40/63,915.14 = 16,358/x
  3. Step 3: Cross multiply
    42,634.40x = 63,915.14 × 16,358
  4. Step 4: Simplify right side
    42,634.40x = 1,045,523,778.33
  5. Step 5: Solve for x
    x = 1,045,523,778.33/42,634.40
  6. Step 6: Final answer
    x = 24,523.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.