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Finding the Fourth Proportional to 14,111.68, 19,483.04 and 9,078.24

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Solution

The fourth proportional to 14,111.68, 19,483.04 and 9,078.24 is: 12,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.68 : 19,483.04 = 9,078.24 : x
  2. Step 2: Convert to fraction form
    14,111.68/19,483.04 = 9,078.24/x
  3. Step 3: Cross multiply
    14,111.68x = 19,483.04 × 9,078.24
  4. Step 4: Simplify right side
    14,111.68x = 176,871,713.05
  5. Step 5: Solve for x
    x = 176,871,713.05/14,111.68
  6. Step 6: Final answer
    x = 12,533.71

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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.