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Finding the Fourth Proportional to 23,310, 34,956.76 and 7,514.40

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Solution

The fourth proportional to 23,310, 34,956.76 and 7,514.40 is: 11,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,310 : 34,956.76 = 7,514.40 : x
  2. Step 2: Convert to fraction form
    23,310/34,956.76 = 7,514.40/x
  3. Step 3: Cross multiply
    23,310x = 34,956.76 × 7,514.40
  4. Step 4: Simplify right side
    23,310x = 262,679,077.34
  5. Step 5: Solve for x
    x = 262,679,077.34/23,310
  6. Step 6: Final answer
    x = 11,268.94

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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.