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Finding the Fourth Proportional to 23,417.76, 32,305.68 and 13,476

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Solution

The fourth proportional to 23,417.76, 32,305.68 and 13,476 is: 18,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,417.76 : 32,305.68 = 13,476 : x
  2. Step 2: Convert to fraction form
    23,417.76/32,305.68 = 13,476/x
  3. Step 3: Cross multiply
    23,417.76x = 32,305.68 × 13,476
  4. Step 4: Simplify right side
    23,417.76x = 435,351,343.68
  5. Step 5: Solve for x
    x = 435,351,343.68/23,417.76
  6. Step 6: Final answer
    x = 18,590.65

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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.