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Finding the Fourth Proportional to 14,803.47, 20,419.16 and 9,489.87

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Solution

The fourth proportional to 14,803.47, 20,419.16 and 9,489.87 is: 13,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,803.47 : 20,419.16 = 9,489.87 : x
  2. Step 2: Convert to fraction form
    14,803.47/20,419.16 = 9,489.87/x
  3. Step 3: Cross multiply
    14,803.47x = 20,419.16 × 9,489.87
  4. Step 4: Simplify right side
    14,803.47x = 193,775,126.46
  5. Step 5: Solve for x
    x = 193,775,126.46/14,803.47
  6. Step 6: Final answer
    x = 13,089.84

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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.