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Finding the Fourth Proportional to 19,207.76, 26,507.76 and 10,824.80

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Solution

The fourth proportional to 19,207.76, 26,507.76 and 10,824.80 is: 14,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207.76 : 26,507.76 = 10,824.80 : x
  2. Step 2: Convert to fraction form
    19,207.76/26,507.76 = 10,824.80/x
  3. Step 3: Cross multiply
    19,207.76x = 26,507.76 × 10,824.80
  4. Step 4: Simplify right side
    19,207.76x = 286,941,200.45
  5. Step 5: Solve for x
    x = 286,941,200.45/19,207.76
  6. Step 6: Final answer
    x = 14,938.82

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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.