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Finding the Fourth Proportional to 19,570.41, 29,355.61 and 9,182.16

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Solution

The fourth proportional to 19,570.41, 29,355.61 and 9,182.16 is: 13,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570.41 : 29,355.61 = 9,182.16 : x
  2. Step 2: Convert to fraction form
    19,570.41/29,355.61 = 9,182.16/x
  3. Step 3: Cross multiply
    19,570.41x = 29,355.61 × 9,182.16
  4. Step 4: Simplify right side
    19,570.41x = 269,547,907.92
  5. Step 5: Solve for x
    x = 269,547,907.92/19,570.41
  6. Step 6: Final answer
    x = 13,773.24

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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.