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Finding the Fourth Proportional to 12,686.44, 19,027.74 and 4,365.16

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Solution

The fourth proportional to 12,686.44, 19,027.74 and 4,365.16 is: 6,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.44 : 19,027.74 = 4,365.16 : x
  2. Step 2: Convert to fraction form
    12,686.44/19,027.74 = 4,365.16/x
  3. Step 3: Cross multiply
    12,686.44x = 19,027.74 × 4,365.16
  4. Step 4: Simplify right side
    12,686.44x = 83,059,129.54
  5. Step 5: Solve for x
    x = 83,059,129.54/12,686.44
  6. Step 6: Final answer
    x = 6,547.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.