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Finding the Fourth Proportional to 19,208.28, 26,507.40 and 10,824.72

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Solution

The fourth proportional to 19,208.28, 26,507.40 and 10,824.72 is: 14,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208.28 : 26,507.40 = 10,824.72 : x
  2. Step 2: Convert to fraction form
    19,208.28/26,507.40 = 10,824.72/x
  3. Step 3: Cross multiply
    19,208.28x = 26,507.40 × 10,824.72
  4. Step 4: Simplify right side
    19,208.28x = 286,935,182.93
  5. Step 5: Solve for x
    x = 286,935,182.93/19,208.28
  6. Step 6: Final answer
    x = 14,938.10

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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.