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Finding the Fourth Proportional to 15,985, 22,068.75 and 14,211.70

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Solution

The fourth proportional to 15,985, 22,068.75 and 14,211.70 is: 19,620.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985 : 22,068.75 = 14,211.70 : x
  2. Step 2: Convert to fraction form
    15,985/22,068.75 = 14,211.70/x
  3. Step 3: Cross multiply
    15,985x = 22,068.75 × 14,211.70
  4. Step 4: Simplify right side
    15,985x = 313,634,454.38
  5. Step 5: Solve for x
    x = 313,634,454.38/15,985
  6. Step 6: Final answer
    x = 19,620.55

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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.