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Finding the Fourth Proportional to 23,709.66, 32,718.66 and 13,099.02

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Solution

The fourth proportional to 23,709.66, 32,718.66 and 13,099.02 is: 18,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.66 : 32,718.66 = 13,099.02 : x
  2. Step 2: Convert to fraction form
    23,709.66/32,718.66 = 13,099.02/x
  3. Step 3: Cross multiply
    23,709.66x = 32,718.66 × 13,099.02
  4. Step 4: Simplify right side
    23,709.66x = 428,582,381.71
  5. Step 5: Solve for x
    x = 428,582,381.71/23,709.66
  6. Step 6: Final answer
    x = 18,076.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.