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Finding the Fourth Proportional to 14,547.52, 21,825.65 and 5,186.32

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Solution

The fourth proportional to 14,547.52, 21,825.65 and 5,186.32 is: 7,781.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.52 : 21,825.65 = 5,186.32 : x
  2. Step 2: Convert to fraction form
    14,547.52/21,825.65 = 5,186.32/x
  3. Step 3: Cross multiply
    14,547.52x = 21,825.65 × 5,186.32
  4. Step 4: Simplify right side
    14,547.52x = 113,194,805.11
  5. Step 5: Solve for x
    x = 113,194,805.11/14,547.52
  6. Step 6: Final answer
    x = 7,781.04

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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.