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Finding the Fourth Proportional to 15,567.66, 23,352.30 and 7,773.84

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Solution

The fourth proportional to 15,567.66, 23,352.30 and 7,773.84 is: 11,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,567.66 : 23,352.30 = 7,773.84 : x
  2. Step 2: Convert to fraction form
    15,567.66/23,352.30 = 7,773.84/x
  3. Step 3: Cross multiply
    15,567.66x = 23,352.30 × 7,773.84
  4. Step 4: Simplify right side
    15,567.66x = 181,537,043.83
  5. Step 5: Solve for x
    x = 181,537,043.83/15,567.66
  6. Step 6: Final answer
    x = 11,661.16

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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.