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Finding the Fourth Proportional to 14,476.95, 19,975.61 and 8,509.84

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Solution

The fourth proportional to 14,476.95, 19,975.61 and 8,509.84 is: 11,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.95 : 19,975.61 = 8,509.84 : x
  2. Step 2: Convert to fraction form
    14,476.95/19,975.61 = 8,509.84/x
  3. Step 3: Cross multiply
    14,476.95x = 19,975.61 × 8,509.84
  4. Step 4: Simplify right side
    14,476.95x = 169,989,216.34
  5. Step 5: Solve for x
    x = 169,989,216.34/14,476.95
  6. Step 6: Final answer
    x = 11,742.06

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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.