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Finding the Fourth Proportional to 13,862.50, 19,130.23 and 7,894.17

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Solution

The fourth proportional to 13,862.50, 19,130.23 and 7,894.17 is: 10,893.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.50 : 19,130.23 = 7,894.17 : x
  2. Step 2: Convert to fraction form
    13,862.50/19,130.23 = 7,894.17/x
  3. Step 3: Cross multiply
    13,862.50x = 19,130.23 × 7,894.17
  4. Step 4: Simplify right side
    13,862.50x = 151,017,248.29
  5. Step 5: Solve for x
    x = 151,017,248.29/13,862.50
  6. Step 6: Final answer
    x = 10,893.94

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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.