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Finding the Fourth Proportional to 15,783.71, 23,675.52 and 9,205.28

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Solution

The fourth proportional to 15,783.71, 23,675.52 and 9,205.28 is: 13,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.71 : 23,675.52 = 9,205.28 : x
  2. Step 2: Convert to fraction form
    15,783.71/23,675.52 = 9,205.28/x
  3. Step 3: Cross multiply
    15,783.71x = 23,675.52 × 9,205.28
  4. Step 4: Simplify right side
    15,783.71x = 217,939,790.75
  5. Step 5: Solve for x
    x = 217,939,790.75/15,783.71
  6. Step 6: Final answer
    x = 13,807.89

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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.