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Finding the Fourth Proportional to 14,935.86, 20,613.74 and 8,970.80

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Solution

The fourth proportional to 14,935.86, 20,613.74 and 8,970.80 is: 12,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,935.86 : 20,613.74 = 8,970.80 : x
  2. Step 2: Convert to fraction form
    14,935.86/20,613.74 = 8,970.80/x
  3. Step 3: Cross multiply
    14,935.86x = 20,613.74 × 8,970.80
  4. Step 4: Simplify right side
    14,935.86x = 184,921,590.87
  5. Step 5: Solve for x
    x = 184,921,590.87/14,935.86
  6. Step 6: Final answer
    x = 12,381.05

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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.