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Finding the Fourth Proportional to 22,856.72, 31,539.41 and 12,783.52

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Solution

The fourth proportional to 22,856.72, 31,539.41 and 12,783.52 is: 17,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,856.72 : 31,539.41 = 12,783.52 : x
  2. Step 2: Convert to fraction form
    22,856.72/31,539.41 = 12,783.52/x
  3. Step 3: Cross multiply
    22,856.72x = 31,539.41 × 12,783.52
  4. Step 4: Simplify right side
    22,856.72x = 403,184,701.97
  5. Step 5: Solve for x
    x = 403,184,701.97/22,856.72
  6. Step 6: Final answer
    x = 17,639.66

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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.