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Finding the Fourth Proportional to 13,810.57, 19,058.71 and 7,842.36

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Solution

The fourth proportional to 13,810.57, 19,058.71 and 7,842.36 is: 10,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.57 : 19,058.71 = 7,842.36 : x
  2. Step 2: Convert to fraction form
    13,810.57/19,058.71 = 7,842.36/x
  3. Step 3: Cross multiply
    13,810.57x = 19,058.71 × 7,842.36
  4. Step 4: Simplify right side
    13,810.57x = 149,465,274.76
  5. Step 5: Solve for x
    x = 149,465,274.76/13,810.57
  6. Step 6: Final answer
    x = 10,822.53

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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.