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Finding the Fourth Proportional to 19,274.64, 28,894.68 and 6,959.76

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Solution

The fourth proportional to 19,274.64, 28,894.68 and 6,959.76 is: 10,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,274.64 : 28,894.68 = 6,959.76 : x
  2. Step 2: Convert to fraction form
    19,274.64/28,894.68 = 6,959.76/x
  3. Step 3: Cross multiply
    19,274.64x = 28,894.68 × 6,959.76
  4. Step 4: Simplify right side
    19,274.64x = 201,100,038.08
  5. Step 5: Solve for x
    x = 201,100,038.08/19,274.64
  6. Step 6: Final answer
    x = 10,433.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.