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Finding the Fourth Proportional to 21,510.42, 32,264.47 and 6,717.64

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Solution

The fourth proportional to 21,510.42, 32,264.47 and 6,717.64 is: 10,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.42 : 32,264.47 = 6,717.64 : x
  2. Step 2: Convert to fraction form
    21,510.42/32,264.47 = 6,717.64/x
  3. Step 3: Cross multiply
    21,510.42x = 32,264.47 × 6,717.64
  4. Step 4: Simplify right side
    21,510.42x = 216,741,094.25
  5. Step 5: Solve for x
    x = 216,741,094.25/21,510.42
  6. Step 6: Final answer
    x = 10,076.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.