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Finding the Fourth Proportional to 10,601.82, 14,638.95 and 10,125.90

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Solution

The fourth proportional to 10,601.82, 14,638.95 and 10,125.90 is: 13,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.82 : 14,638.95 = 10,125.90 : x
  2. Step 2: Convert to fraction form
    10,601.82/14,638.95 = 10,125.90/x
  3. Step 3: Cross multiply
    10,601.82x = 14,638.95 × 10,125.90
  4. Step 4: Simplify right side
    10,601.82x = 148,232,543.81
  5. Step 5: Solve for x
    x = 148,232,543.81/10,601.82
  6. Step 6: Final answer
    x = 13,981.80

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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.