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Finding the Fourth Proportional to 14,565, 20,102.46 and 9,265.98

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Solution

The fourth proportional to 14,565, 20,102.46 and 9,265.98 is: 12,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565 : 20,102.46 = 9,265.98 : x
  2. Step 2: Convert to fraction form
    14,565/20,102.46 = 9,265.98/x
  3. Step 3: Cross multiply
    14,565x = 20,102.46 × 9,265.98
  4. Step 4: Simplify right side
    14,565x = 186,268,992.31
  5. Step 5: Solve for x
    x = 186,268,992.31/14,565
  6. Step 6: Final answer
    x = 12,788.81

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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.