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Finding the Fourth Proportional to 21,696.80, 32,547.24 and 6,114.40

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Solution

The fourth proportional to 21,696.80, 32,547.24 and 6,114.40 is: 9,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696.80 : 32,547.24 = 6,114.40 : x
  2. Step 2: Convert to fraction form
    21,696.80/32,547.24 = 6,114.40/x
  3. Step 3: Cross multiply
    21,696.80x = 32,547.24 × 6,114.40
  4. Step 4: Simplify right side
    21,696.80x = 199,006,844.26
  5. Step 5: Solve for x
    x = 199,006,844.26/21,696.80
  6. Step 6: Final answer
    x = 9,172.17

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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.