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Finding the Fourth Proportional to 13,810.25, 19,058.28 and 7,842.05

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Solution

The fourth proportional to 13,810.25, 19,058.28 and 7,842.05 is: 10,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.25 : 19,058.28 = 7,842.05 : x
  2. Step 2: Convert to fraction form
    13,810.25/19,058.28 = 7,842.05/x
  3. Step 3: Cross multiply
    13,810.25x = 19,058.28 × 7,842.05
  4. Step 4: Simplify right side
    13,810.25x = 149,455,869.78
  5. Step 5: Solve for x
    x = 149,455,869.78/13,810.25
  6. Step 6: Final answer
    x = 10,822.10

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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.