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Finding the Fourth Proportional to 15,586.51, 21,504.06 and 8,870.47

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Solution

The fourth proportional to 15,586.51, 21,504.06 and 8,870.47 is: 12,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.51 : 21,504.06 = 8,870.47 : x
  2. Step 2: Convert to fraction form
    15,586.51/21,504.06 = 8,870.47/x
  3. Step 3: Cross multiply
    15,586.51x = 21,504.06 × 8,870.47
  4. Step 4: Simplify right side
    15,586.51x = 190,751,119.11
  5. Step 5: Solve for x
    x = 190,751,119.11/15,586.51
  6. Step 6: Final answer
    x = 12,238.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.