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Finding the Fourth Proportional to 16,014.51, 22,094.17 and 10,044

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Solution

The fourth proportional to 16,014.51, 22,094.17 and 10,044 is: 13,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.51 : 22,094.17 = 10,044 : x
  2. Step 2: Convert to fraction form
    16,014.51/22,094.17 = 10,044/x
  3. Step 3: Cross multiply
    16,014.51x = 22,094.17 × 10,044
  4. Step 4: Simplify right side
    16,014.51x = 221,913,818.37
  5. Step 5: Solve for x
    x = 221,913,818.37/16,014.51
  6. Step 6: Final answer
    x = 13,857.05

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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.