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Finding the Fourth Proportional to 21,078.53, 31,602.16 and 12,756.57

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Solution

The fourth proportional to 21,078.53, 31,602.16 and 12,756.57 is: 19,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.53 : 31,602.16 = 12,756.57 : x
  2. Step 2: Convert to fraction form
    21,078.53/31,602.16 = 12,756.57/x
  3. Step 3: Cross multiply
    21,078.53x = 31,602.16 × 12,756.57
  4. Step 4: Simplify right side
    21,078.53x = 403,135,152.31
  5. Step 5: Solve for x
    x = 403,135,152.31/21,078.53
  6. Step 6: Final answer
    x = 19,125.39

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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.