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Finding the Fourth Proportional to 14,258.64, 21,389.88 and 5,022.48

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Solution

The fourth proportional to 14,258.64, 21,389.88 and 5,022.48 is: 7,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.64 : 21,389.88 = 5,022.48 : x
  2. Step 2: Convert to fraction form
    14,258.64/21,389.88 = 5,022.48/x
  3. Step 3: Cross multiply
    14,258.64x = 21,389.88 × 5,022.48
  4. Step 4: Simplify right side
    14,258.64x = 107,430,244.50
  5. Step 5: Solve for x
    x = 107,430,244.50/14,258.64
  6. Step 6: Final answer
    x = 7,534.40

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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.