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Finding the Fourth Proportional to 21,009.16, 31,525.99 and 7,870.76

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Solution

The fourth proportional to 21,009.16, 31,525.99 and 7,870.76 is: 11,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.16 : 31,525.99 = 7,870.76 : x
  2. Step 2: Convert to fraction form
    21,009.16/31,525.99 = 7,870.76/x
  3. Step 3: Cross multiply
    21,009.16x = 31,525.99 × 7,870.76
  4. Step 4: Simplify right side
    21,009.16x = 248,133,501.05
  5. Step 5: Solve for x
    x = 248,133,501.05/21,009.16
  6. Step 6: Final answer
    x = 11,810.73

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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.