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Finding the Fourth Proportional to 14,477.51, 21,719.45 and 8,240.46

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Solution

The fourth proportional to 14,477.51, 21,719.45 and 8,240.46 is: 12,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.51 : 21,719.45 = 8,240.46 : x
  2. Step 2: Convert to fraction form
    14,477.51/21,719.45 = 8,240.46/x
  3. Step 3: Cross multiply
    14,477.51x = 21,719.45 × 8,240.46
  4. Step 4: Simplify right side
    14,477.51x = 178,978,258.95
  5. Step 5: Solve for x
    x = 178,978,258.95/14,477.51
  6. Step 6: Final answer
    x = 12,362.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.