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Finding the Fourth Proportional to 15,783.30, 21,780.75 and 8,709.72

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Solution

The fourth proportional to 15,783.30, 21,780.75 and 8,709.72 is: 12,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.30 : 21,780.75 = 8,709.72 : x
  2. Step 2: Convert to fraction form
    15,783.30/21,780.75 = 8,709.72/x
  3. Step 3: Cross multiply
    15,783.30x = 21,780.75 × 8,709.72
  4. Step 4: Simplify right side
    15,783.30x = 189,704,233.89
  5. Step 5: Solve for x
    x = 189,704,233.89/15,783.30
  6. Step 6: Final answer
    x = 12,019.30

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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.