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Finding the Fourth Proportional to 17,787.50, 24,547.24 and 9,830.24

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Solution

The fourth proportional to 17,787.50, 24,547.24 and 9,830.24 is: 13,566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.50 : 24,547.24 = 9,830.24 : x
  2. Step 2: Convert to fraction form
    17,787.50/24,547.24 = 9,830.24/x
  3. Step 3: Cross multiply
    17,787.50x = 24,547.24 × 9,830.24
  4. Step 4: Simplify right side
    17,787.50x = 241,305,242.14
  5. Step 5: Solve for x
    x = 241,305,242.14/17,787.50
  6. Step 6: Final answer
    x = 13,566.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.