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Finding the Fourth Proportional to 14,547.44, 20,054.30 and 11,564.48

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Solution

The fourth proportional to 14,547.44, 20,054.30 and 11,564.48 is: 15,942.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.44 : 20,054.30 = 11,564.48 : x
  2. Step 2: Convert to fraction form
    14,547.44/20,054.30 = 11,564.48/x
  3. Step 3: Cross multiply
    14,547.44x = 20,054.30 × 11,564.48
  4. Step 4: Simplify right side
    14,547.44x = 231,917,393.17
  5. Step 5: Solve for x
    x = 231,917,393.17/14,547.44
  6. Step 6: Final answer
    x = 15,942.15

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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.