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Finding the Fourth Proportional to 23,643.47, 32,627.98 and 13,033.28

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Solution

The fourth proportional to 23,643.47, 32,627.98 and 13,033.28 is: 17,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.47 : 32,627.98 = 13,033.28 : x
  2. Step 2: Convert to fraction form
    23,643.47/32,627.98 = 13,033.28/x
  3. Step 3: Cross multiply
    23,643.47x = 32,627.98 × 13,033.28
  4. Step 4: Simplify right side
    23,643.47x = 425,249,370.87
  5. Step 5: Solve for x
    x = 425,249,370.87/23,643.47
  6. Step 6: Final answer
    x = 17,985.92

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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.