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Finding the Fourth Proportional to 13,325.19, 19,903.89 and 9,783.87

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Solution

The fourth proportional to 13,325.19, 19,903.89 and 9,783.87 is: 14,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,325.19 : 19,903.89 = 9,783.87 : x
  2. Step 2: Convert to fraction form
    13,325.19/19,903.89 = 9,783.87/x
  3. Step 3: Cross multiply
    13,325.19x = 19,903.89 × 9,783.87
  4. Step 4: Simplify right side
    13,325.19x = 194,737,072.25
  5. Step 5: Solve for x
    x = 194,737,072.25/13,325.19
  6. Step 6: Final answer
    x = 14,614.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.