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Finding the Fourth Proportional to 26,842.50, 40,270.90 and 9,312.30

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Solution

The fourth proportional to 26,842.50, 40,270.90 and 9,312.30 is: 13,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.50 : 40,270.90 = 9,312.30 : x
  2. Step 2: Convert to fraction form
    26,842.50/40,270.90 = 9,312.30/x
  3. Step 3: Cross multiply
    26,842.50x = 40,270.90 × 9,312.30
  4. Step 4: Simplify right side
    26,842.50x = 375,014,702.07
  5. Step 5: Solve for x
    x = 375,014,702.07/26,842.50
  6. Step 6: Final answer
    x = 13,970.93

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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.