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Finding the Fourth Proportional to 21,137.10, 31,705.65 and 8,648.93

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Solution

The fourth proportional to 21,137.10, 31,705.65 and 8,648.93 is: 12,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.10 : 31,705.65 = 8,648.93 : x
  2. Step 2: Convert to fraction form
    21,137.10/31,705.65 = 8,648.93/x
  3. Step 3: Cross multiply
    21,137.10x = 31,705.65 × 8,648.93
  4. Step 4: Simplify right side
    21,137.10x = 274,219,788.93
  5. Step 5: Solve for x
    x = 274,219,788.93/21,137.10
  6. Step 6: Final answer
    x = 12,973.39

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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.