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Finding the Fourth Proportional to 21,547.68, 32,307.84 and 6,752.16

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Solution

The fourth proportional to 21,547.68, 32,307.84 and 6,752.16 is: 10,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.68 : 32,307.84 = 6,752.16 : x
  2. Step 2: Convert to fraction form
    21,547.68/32,307.84 = 6,752.16/x
  3. Step 3: Cross multiply
    21,547.68x = 32,307.84 × 6,752.16
  4. Step 4: Simplify right side
    21,547.68x = 218,147,704.93
  5. Step 5: Solve for x
    x = 218,147,704.93/21,547.68
  6. Step 6: Final answer
    x = 10,123.95

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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.