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Finding the Fourth Proportional to 14,884.63, 20,529.96 and 9,853.16

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Solution

The fourth proportional to 14,884.63, 20,529.96 and 9,853.16 is: 13,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.63 : 20,529.96 = 9,853.16 : x
  2. Step 2: Convert to fraction form
    14,884.63/20,529.96 = 9,853.16/x
  3. Step 3: Cross multiply
    14,884.63x = 20,529.96 × 9,853.16
  4. Step 4: Simplify right side
    14,884.63x = 202,284,980.67
  5. Step 5: Solve for x
    x = 202,284,980.67/14,884.63
  6. Step 6: Final answer
    x = 13,590.19

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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.