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Finding the Fourth Proportional to 18,953.50, 26,156.64 and 10,570

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Solution

The fourth proportional to 18,953.50, 26,156.64 and 10,570 is: 14,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,953.50 : 26,156.64 = 10,570 : x
  2. Step 2: Convert to fraction form
    18,953.50/26,156.64 = 10,570/x
  3. Step 3: Cross multiply
    18,953.50x = 26,156.64 × 10,570
  4. Step 4: Simplify right side
    18,953.50x = 276,475,684.80
  5. Step 5: Solve for x
    x = 276,475,684.80/18,953.50
  6. Step 6: Final answer
    x = 14,587.05

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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.