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Finding the Fourth Proportional to 29,253.60, 43,884 and 9,526.86

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Solution

The fourth proportional to 29,253.60, 43,884 and 9,526.86 is: 14,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,253.60 : 43,884 = 9,526.86 : x
  2. Step 2: Convert to fraction form
    29,253.60/43,884 = 9,526.86/x
  3. Step 3: Cross multiply
    29,253.60x = 43,884 × 9,526.86
  4. Step 4: Simplify right side
    29,253.60x = 418,076,724.24
  5. Step 5: Solve for x
    x = 418,076,724.24/29,253.60
  6. Step 6: Final answer
    x = 14,291.46

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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.