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Finding the Fourth Proportional to 19,565.14, 29,347.40 and 7,878.08

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Solution

The fourth proportional to 19,565.14, 29,347.40 and 7,878.08 is: 11,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,565.14 : 29,347.40 = 7,878.08 : x
  2. Step 2: Convert to fraction form
    19,565.14/29,347.40 = 7,878.08/x
  3. Step 3: Cross multiply
    19,565.14x = 29,347.40 × 7,878.08
  4. Step 4: Simplify right side
    19,565.14x = 231,201,164.99
  5. Step 5: Solve for x
    x = 231,201,164.99/19,565.14
  6. Step 6: Final answer
    x = 11,817.00

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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.