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Finding the Fourth Proportional to 13,848.68, 19,111.07 and 7,561.05

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Solution

The fourth proportional to 13,848.68, 19,111.07 and 7,561.05 is: 10,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.68 : 19,111.07 = 7,561.05 : x
  2. Step 2: Convert to fraction form
    13,848.68/19,111.07 = 7,561.05/x
  3. Step 3: Cross multiply
    13,848.68x = 19,111.07 × 7,561.05
  4. Step 4: Simplify right side
    13,848.68x = 144,499,755.82
  5. Step 5: Solve for x
    x = 144,499,755.82/13,848.68
  6. Step 6: Final answer
    x = 10,434.19

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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.