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Finding the Fourth Proportional to 13,718.43, 18,931.41 and 7,430.80

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Solution

The fourth proportional to 13,718.43, 18,931.41 and 7,430.80 is: 10,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.43 : 18,931.41 = 7,430.80 : x
  2. Step 2: Convert to fraction form
    13,718.43/18,931.41 = 7,430.80/x
  3. Step 3: Cross multiply
    13,718.43x = 18,931.41 × 7,430.80
  4. Step 4: Simplify right side
    13,718.43x = 140,675,521.43
  5. Step 5: Solve for x
    x = 140,675,521.43/13,718.43
  6. Step 6: Final answer
    x = 10,254.50

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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.