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Finding the Fourth Proportional to 23,725.49, 32,741.16 and 12,970.40

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Solution

The fourth proportional to 23,725.49, 32,741.16 and 12,970.40 is: 17,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,725.49 : 32,741.16 = 12,970.40 : x
  2. Step 2: Convert to fraction form
    23,725.49/32,741.16 = 12,970.40/x
  3. Step 3: Cross multiply
    23,725.49x = 32,741.16 × 12,970.40
  4. Step 4: Simplify right side
    23,725.49x = 424,665,941.66
  5. Step 5: Solve for x
    x = 424,665,941.66/23,725.49
  6. Step 6: Final answer
    x = 17,899.15

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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.