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Finding the Fourth Proportional to 28,204.90, 42,307.65 and 13,415.31

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Solution

The fourth proportional to 28,204.90, 42,307.65 and 13,415.31 is: 20,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204.90 : 42,307.65 = 13,415.31 : x
  2. Step 2: Convert to fraction form
    28,204.90/42,307.65 = 13,415.31/x
  3. Step 3: Cross multiply
    28,204.90x = 42,307.65 × 13,415.31
  4. Step 4: Simplify right side
    28,204.90x = 567,570,240.12
  5. Step 5: Solve for x
    x = 567,570,240.12/28,204.90
  6. Step 6: Final answer
    x = 20,123.11

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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.