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Finding the Fourth Proportional to 23,657.19, 32,646.95 and 12,902.09

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Solution

The fourth proportional to 23,657.19, 32,646.95 and 12,902.09 is: 17,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.19 : 32,646.95 = 12,902.09 : x
  2. Step 2: Convert to fraction form
    23,657.19/32,646.95 = 12,902.09/x
  3. Step 3: Cross multiply
    23,657.19x = 32,646.95 × 12,902.09
  4. Step 4: Simplify right side
    23,657.19x = 421,213,841.55
  5. Step 5: Solve for x
    x = 421,213,841.55/23,657.19
  6. Step 6: Final answer
    x = 17,804.90

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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.