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Finding the Fourth Proportional to 21,531.23, 32,283.63 and 8,368.23

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Solution

The fourth proportional to 21,531.23, 32,283.63 and 8,368.23 is: 12,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.23 : 32,283.63 = 8,368.23 : x
  2. Step 2: Convert to fraction form
    21,531.23/32,283.63 = 8,368.23/x
  3. Step 3: Cross multiply
    21,531.23x = 32,283.63 × 8,368.23
  4. Step 4: Simplify right side
    21,531.23x = 270,156,841.07
  5. Step 5: Solve for x
    x = 270,156,841.07/21,531.23
  6. Step 6: Final answer
    x = 12,547.21

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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.