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Finding the Fourth Proportional to 18,422.70, 25,423.40 and 10,465

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Solution

The fourth proportional to 18,422.70, 25,423.40 and 10,465 is: 14,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422.70 : 25,423.40 = 10,465 : x
  2. Step 2: Convert to fraction form
    18,422.70/25,423.40 = 10,465/x
  3. Step 3: Cross multiply
    18,422.70x = 25,423.40 × 10,465
  4. Step 4: Simplify right side
    18,422.70x = 266,055,881.00
  5. Step 5: Solve for x
    x = 266,055,881.00/18,422.70
  6. Step 6: Final answer
    x = 14,441.74

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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.