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Finding the Fourth Proportional to 14,335, 21,508.80 and 6,017.20

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Solution

The fourth proportional to 14,335, 21,508.80 and 6,017.20 is: 9,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335 : 21,508.80 = 6,017.20 : x
  2. Step 2: Convert to fraction form
    14,335/21,508.80 = 6,017.20/x
  3. Step 3: Cross multiply
    14,335x = 21,508.80 × 6,017.20
  4. Step 4: Simplify right side
    14,335x = 129,422,751.36
  5. Step 5: Solve for x
    x = 129,422,751.36/14,335
  6. Step 6: Final answer
    x = 9,028.44

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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.