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Finding the Fourth Proportional to 13,813.66, 19,070.06 and 10,782.27

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Solution

The fourth proportional to 13,813.66, 19,070.06 and 10,782.27 is: 14,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.66 : 19,070.06 = 10,782.27 : x
  2. Step 2: Convert to fraction form
    13,813.66/19,070.06 = 10,782.27/x
  3. Step 3: Cross multiply
    13,813.66x = 19,070.06 × 10,782.27
  4. Step 4: Simplify right side
    13,813.66x = 205,618,535.84
  5. Step 5: Solve for x
    x = 205,618,535.84/13,813.66
  6. Step 6: Final answer
    x = 14,885.16

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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.