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Finding the Fourth Proportional to 14,776.08, 20,368.36 and 10,514.40

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Solution

The fourth proportional to 14,776.08, 20,368.36 and 10,514.40 is: 14,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.08 : 20,368.36 = 10,514.40 : x
  2. Step 2: Convert to fraction form
    14,776.08/20,368.36 = 10,514.40/x
  3. Step 3: Cross multiply
    14,776.08x = 20,368.36 × 10,514.40
  4. Step 4: Simplify right side
    14,776.08x = 214,161,084.38
  5. Step 5: Solve for x
    x = 214,161,084.38/14,776.08
  6. Step 6: Final answer
    x = 14,493.77

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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.