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Finding the Fourth Proportional to 23,634.51, 32,616.20 and 13,024.15

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Solution

The fourth proportional to 23,634.51, 32,616.20 and 13,024.15 is: 17,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.51 : 32,616.20 = 13,024.15 : x
  2. Step 2: Convert to fraction form
    23,634.51/32,616.20 = 13,024.15/x
  3. Step 3: Cross multiply
    23,634.51x = 32,616.20 × 13,024.15
  4. Step 4: Simplify right side
    23,634.51x = 424,798,281.23
  5. Step 5: Solve for x
    x = 424,798,281.23/23,634.51
  6. Step 6: Final answer
    x = 17,973.64

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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.