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Finding the Fourth Proportional to 22,574.50, 31,152.31 and 12,502.35

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Solution

The fourth proportional to 22,574.50, 31,152.31 and 12,502.35 is: 17,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574.50 : 31,152.31 = 12,502.35 : x
  2. Step 2: Convert to fraction form
    22,574.50/31,152.31 = 12,502.35/x
  3. Step 3: Cross multiply
    22,574.50x = 31,152.31 × 12,502.35
  4. Step 4: Simplify right side
    22,574.50x = 389,477,082.93
  5. Step 5: Solve for x
    x = 389,477,082.93/22,574.50
  6. Step 6: Final answer
    x = 17,252.97

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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.