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Finding the Fourth Proportional to 19,348, 26,700.24 and 10,516

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Solution

The fourth proportional to 19,348, 26,700.24 and 10,516 is: 14,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,348 : 26,700.24 = 10,516 : x
  2. Step 2: Convert to fraction form
    19,348/26,700.24 = 10,516/x
  3. Step 3: Cross multiply
    19,348x = 26,700.24 × 10,516
  4. Step 4: Simplify right side
    19,348x = 280,779,723.84
  5. Step 5: Solve for x
    x = 280,779,723.84/19,348
  6. Step 6: Final answer
    x = 14,512.08

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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.