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Finding the Fourth Proportional to 14,561.60, 21,837.60 and 5,326.40

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Solution

The fourth proportional to 14,561.60, 21,837.60 and 5,326.40 is: 7,987.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.60 : 21,837.60 = 5,326.40 : x
  2. Step 2: Convert to fraction form
    14,561.60/21,837.60 = 5,326.40/x
  3. Step 3: Cross multiply
    14,561.60x = 21,837.60 × 5,326.40
  4. Step 4: Simplify right side
    14,561.60x = 116,315,792.64
  5. Step 5: Solve for x
    x = 116,315,792.64/14,561.60
  6. Step 6: Final answer
    x = 7,987.84

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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.