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Finding the Fourth Proportional to 23,725.68, 32,742.06 and 12,971.00

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Solution

The fourth proportional to 23,725.68, 32,742.06 and 12,971.00 is: 17,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,725.68 : 32,742.06 = 12,971.00 : x
  2. Step 2: Convert to fraction form
    23,725.68/32,742.06 = 12,971.00/x
  3. Step 3: Cross multiply
    23,725.68x = 32,742.06 × 12,971.00
  4. Step 4: Simplify right side
    23,725.68x = 424,697,293.47
  5. Step 5: Solve for x
    x = 424,697,293.47/23,725.68
  6. Step 6: Final answer
    x = 17,900.32

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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.