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Finding the Fourth Proportional to 22,580.30, 31,162.57 and 12,509.67

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Solution

The fourth proportional to 22,580.30, 31,162.57 and 12,509.67 is: 17,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.30 : 31,162.57 = 12,509.67 : x
  2. Step 2: Convert to fraction form
    22,580.30/31,162.57 = 12,509.67/x
  3. Step 3: Cross multiply
    22,580.30x = 31,162.57 × 12,509.67
  4. Step 4: Simplify right side
    22,580.30x = 389,833,353.89
  5. Step 5: Solve for x
    x = 389,833,353.89/22,580.30
  6. Step 6: Final answer
    x = 17,264.31

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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.