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Finding the Fourth Proportional to 14,406.06, 19,867.16 and 9,875.33

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Solution

The fourth proportional to 14,406.06, 19,867.16 and 9,875.33 is: 13,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.06 : 19,867.16 = 9,875.33 : x
  2. Step 2: Convert to fraction form
    14,406.06/19,867.16 = 9,875.33/x
  3. Step 3: Cross multiply
    14,406.06x = 19,867.16 × 9,875.33
  4. Step 4: Simplify right side
    14,406.06x = 196,194,686.95
  5. Step 5: Solve for x
    x = 196,194,686.95/14,406.06
  6. Step 6: Final answer
    x = 13,618.90

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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.