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Finding the Fourth Proportional to 13,862.86, 19,130.82 and 7,813.19

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Solution

The fourth proportional to 13,862.86, 19,130.82 and 7,813.19 is: 10,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.86 : 19,130.82 = 7,813.19 : x
  2. Step 2: Convert to fraction form
    13,862.86/19,130.82 = 7,813.19/x
  3. Step 3: Cross multiply
    13,862.86x = 19,130.82 × 7,813.19
  4. Step 4: Simplify right side
    13,862.86x = 149,472,779.34
  5. Step 5: Solve for x
    x = 149,472,779.34/13,862.86
  6. Step 6: Final answer
    x = 10,782.25

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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.