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Finding the Fourth Proportional to 15,783.90, 21,781.35 and 8,709.81

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Solution

The fourth proportional to 15,783.90, 21,781.35 and 8,709.81 is: 12,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.90 : 21,781.35 = 8,709.81 : x
  2. Step 2: Convert to fraction form
    15,783.90/21,781.35 = 8,709.81/x
  3. Step 3: Cross multiply
    15,783.90x = 21,781.35 × 8,709.81
  4. Step 4: Simplify right side
    15,783.90x = 189,711,420.04
  5. Step 5: Solve for x
    x = 189,711,420.04/15,783.90
  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.