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Finding the Fourth Proportional to 21,657.63, 32,482.35 and 9,186.51

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Solution

The fourth proportional to 21,657.63, 32,482.35 and 9,186.51 is: 13,778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.63 : 32,482.35 = 9,186.51 : x
  2. Step 2: Convert to fraction form
    21,657.63/32,482.35 = 9,186.51/x
  3. Step 3: Cross multiply
    21,657.63x = 32,482.35 × 9,186.51
  4. Step 4: Simplify right side
    21,657.63x = 298,399,433.10
  5. Step 5: Solve for x
    x = 298,399,433.10/21,657.63
  6. Step 6: Final answer
    x = 13,778.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.