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Finding the Fourth Proportional to 14,309.32, 19,726.14 and 10,047.40

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Solution

The fourth proportional to 14,309.32, 19,726.14 and 10,047.40 is: 13,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.32 : 19,726.14 = 10,047.40 : x
  2. Step 2: Convert to fraction form
    14,309.32/19,726.14 = 10,047.40/x
  3. Step 3: Cross multiply
    14,309.32x = 19,726.14 × 10,047.40
  4. Step 4: Simplify right side
    14,309.32x = 198,196,419.04
  5. Step 5: Solve for x
    x = 198,196,419.04/14,309.32
  6. Step 6: Final answer
    x = 13,850.86

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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.