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Finding the Fourth Proportional to 13,848.64, 19,111.22 and 7,561.16

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Solution

The fourth proportional to 13,848.64, 19,111.22 and 7,561.16 is: 10,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.64 : 19,111.22 = 7,561.16 : x
  2. Step 2: Convert to fraction form
    13,848.64/19,111.22 = 7,561.16/x
  3. Step 3: Cross multiply
    13,848.64x = 19,111.22 × 7,561.16
  4. Step 4: Simplify right side
    13,848.64x = 144,502,992.22
  5. Step 5: Solve for x
    x = 144,502,992.22/13,848.64
  6. Step 6: Final answer
    x = 10,434.45

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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.