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Finding the Fourth Proportional to 14,636.52, 21,961.02 and 4,642.07

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Solution

The fourth proportional to 14,636.52, 21,961.02 and 4,642.07 is: 6,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636.52 : 21,961.02 = 4,642.07 : x
  2. Step 2: Convert to fraction form
    14,636.52/21,961.02 = 4,642.07/x
  3. Step 3: Cross multiply
    14,636.52x = 21,961.02 × 4,642.07
  4. Step 4: Simplify right side
    14,636.52x = 101,944,482.31
  5. Step 5: Solve for x
    x = 101,944,482.31/14,636.52
  6. Step 6: Final answer
    x = 6,965.08

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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.