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Finding the Fourth Proportional to 14,744.16, 20,345.43 and 8,368.74

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Solution

The fourth proportional to 14,744.16, 20,345.43 and 8,368.74 is: 11,548.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.16 : 20,345.43 = 8,368.74 : x
  2. Step 2: Convert to fraction form
    14,744.16/20,345.43 = 8,368.74/x
  3. Step 3: Cross multiply
    14,744.16x = 20,345.43 × 8,368.74
  4. Step 4: Simplify right side
    14,744.16x = 170,265,613.86
  5. Step 5: Solve for x
    x = 170,265,613.86/14,744.16
  6. Step 6: Final answer
    x = 11,548.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.