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Finding the Fourth Proportional to 14,225.60, 21,326.09 and 7,644.08

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Solution

The fourth proportional to 14,225.60, 21,326.09 and 7,644.08 is: 11,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225.60 : 21,326.09 = 7,644.08 : x
  2. Step 2: Convert to fraction form
    14,225.60/21,326.09 = 7,644.08/x
  3. Step 3: Cross multiply
    14,225.60x = 21,326.09 × 7,644.08
  4. Step 4: Simplify right side
    14,225.60x = 163,018,353.14
  5. Step 5: Solve for x
    x = 163,018,353.14/14,225.60
  6. Step 6: Final answer
    x = 11,459.50

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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.