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Finding the Fourth Proportional to 16,409.03, 22,646.16 and 10,039.87

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Solution

The fourth proportional to 16,409.03, 22,646.16 and 10,039.87 is: 13,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.03 : 22,646.16 = 10,039.87 : x
  2. Step 2: Convert to fraction form
    16,409.03/22,646.16 = 10,039.87/x
  3. Step 3: Cross multiply
    16,409.03x = 22,646.16 × 10,039.87
  4. Step 4: Simplify right side
    16,409.03x = 227,364,502.40
  5. Step 5: Solve for x
    x = 227,364,502.40/16,409.03
  6. Step 6: Final answer
    x = 13,856.06

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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.