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Finding the Fourth Proportional to 21,458.80, 32,177.40 and 12,696.40

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Solution

The fourth proportional to 21,458.80, 32,177.40 and 12,696.40 is: 19,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,458.80 : 32,177.40 = 12,696.40 : x
  2. Step 2: Convert to fraction form
    21,458.80/32,177.40 = 12,696.40/x
  3. Step 3: Cross multiply
    21,458.80x = 32,177.40 × 12,696.40
  4. Step 4: Simplify right side
    21,458.80x = 408,537,141.36
  5. Step 5: Solve for x
    x = 408,537,141.36/21,458.80
  6. Step 6: Final answer
    x = 19,038.21

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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.