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Finding the Fourth Proportional to 14,258.68, 21,388 and 6,359.16

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Solution

The fourth proportional to 14,258.68, 21,388 and 6,359.16 is: 9,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.68 : 21,388 = 6,359.16 : x
  2. Step 2: Convert to fraction form
    14,258.68/21,388 = 6,359.16/x
  3. Step 3: Cross multiply
    14,258.68x = 21,388 × 6,359.16
  4. Step 4: Simplify right side
    14,258.68x = 136,009,714.08
  5. Step 5: Solve for x
    x = 136,009,714.08/14,258.68
  6. Step 6: Final answer
    x = 9,538.73

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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.