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Finding the Fourth Proportional to 14,510.93, 20,017.71 and 9,478.10

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Solution

The fourth proportional to 14,510.93, 20,017.71 and 9,478.10 is: 13,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.93 : 20,017.71 = 9,478.10 : x
  2. Step 2: Convert to fraction form
    14,510.93/20,017.71 = 9,478.10/x
  3. Step 3: Cross multiply
    14,510.93x = 20,017.71 × 9,478.10
  4. Step 4: Simplify right side
    14,510.93x = 189,729,857.15
  5. Step 5: Solve for x
    x = 189,729,857.15/14,510.93
  6. Step 6: Final answer
    x = 13,074.96

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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.