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Finding the Fourth Proportional to 22,574, 31,151.62 and 12,501.85

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Solution

The fourth proportional to 22,574, 31,151.62 and 12,501.85 is: 17,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574 : 31,151.62 = 12,501.85 : x
  2. Step 2: Convert to fraction form
    22,574/31,151.62 = 12,501.85/x
  3. Step 3: Cross multiply
    22,574x = 31,151.62 × 12,501.85
  4. Step 4: Simplify right side
    22,574x = 389,452,880.50
  5. Step 5: Solve for x
    x = 389,452,880.50/22,574
  6. Step 6: Final answer
    x = 17,252.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.