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Finding the Fourth Proportional to 14,244.12, 21,374.28 and 7,670.16

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Solution

The fourth proportional to 14,244.12, 21,374.28 and 7,670.16 is: 11,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.12 : 21,374.28 = 7,670.16 : x
  2. Step 2: Convert to fraction form
    14,244.12/21,374.28 = 7,670.16/x
  3. Step 3: Cross multiply
    14,244.12x = 21,374.28 × 7,670.16
  4. Step 4: Simplify right side
    14,244.12x = 163,944,147.48
  5. Step 5: Solve for x
    x = 163,944,147.48/14,244.12
  6. Step 6: Final answer
    x = 11,509.60

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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.