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Finding the Fourth Proportional to 14,115.40, 19,477.14 and 7,827.80

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Solution

The fourth proportional to 14,115.40, 19,477.14 and 7,827.80 is: 10,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.40 : 19,477.14 = 7,827.80 : x
  2. Step 2: Convert to fraction form
    14,115.40/19,477.14 = 7,827.80/x
  3. Step 3: Cross multiply
    14,115.40x = 19,477.14 × 7,827.80
  4. Step 4: Simplify right side
    14,115.40x = 152,463,156.49
  5. Step 5: Solve for x
    x = 152,463,156.49/14,115.40
  6. Step 6: Final answer
    x = 10,801.19

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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.