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Finding the Fourth Proportional to 26,242.65, 36,214.88 and 14,306.00

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Solution

The fourth proportional to 26,242.65, 36,214.88 and 14,306.00 is: 19,742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,242.65 : 36,214.88 = 14,306.00 : x
  2. Step 2: Convert to fraction form
    26,242.65/36,214.88 = 14,306.00/x
  3. Step 3: Cross multiply
    26,242.65x = 36,214.88 × 14,306.00
  4. Step 4: Simplify right side
    26,242.65x = 518,089,820.68
  5. Step 5: Solve for x
    x = 518,089,820.68/26,242.65
  6. Step 6: Final answer
    x = 19,742.28

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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.