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Finding the Fourth Proportional to 14,119.95, 19,486.08 and 7,746.75

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Solution

The fourth proportional to 14,119.95, 19,486.08 and 7,746.75 is: 10,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.95 : 19,486.08 = 7,746.75 : x
  2. Step 2: Convert to fraction form
    14,119.95/19,486.08 = 7,746.75/x
  3. Step 3: Cross multiply
    14,119.95x = 19,486.08 × 7,746.75
  4. Step 4: Simplify right side
    14,119.95x = 150,953,790.24
  5. Step 5: Solve for x
    x = 150,953,790.24/14,119.95
  6. Step 6: Final answer
    x = 10,690.82

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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.