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Finding the Fourth Proportional to 21,054.31, 31,574.89 and 7,011.06

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Solution

The fourth proportional to 21,054.31, 31,574.89 and 7,011.06 is: 10,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,054.31 : 31,574.89 = 7,011.06 : x
  2. Step 2: Convert to fraction form
    21,054.31/31,574.89 = 7,011.06/x
  3. Step 3: Cross multiply
    21,054.31x = 31,574.89 × 7,011.06
  4. Step 4: Simplify right side
    21,054.31x = 221,373,448.28
  5. Step 5: Solve for x
    x = 221,373,448.28/21,054.31
  6. Step 6: Final answer
    x = 10,514.40

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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.