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Finding the Fourth Proportional to 23,776.68, 32,810.04 and 13,019.20

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Solution

The fourth proportional to 23,776.68, 32,810.04 and 13,019.20 is: 17,965.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.68 : 32,810.04 = 13,019.20 : x
  2. Step 2: Convert to fraction form
    23,776.68/32,810.04 = 13,019.20/x
  3. Step 3: Cross multiply
    23,776.68x = 32,810.04 × 13,019.20
  4. Step 4: Simplify right side
    23,776.68x = 427,160,472.77
  5. Step 5: Solve for x
    x = 427,160,472.77/23,776.68
  6. Step 6: Final answer
    x = 17,965.52

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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.