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Finding the Fourth Proportional to 19,524.42, 29,290.95 and 9,130.50

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Solution

The fourth proportional to 19,524.42, 29,290.95 and 9,130.50 is: 13,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,524.42 : 29,290.95 = 9,130.50 : x
  2. Step 2: Convert to fraction form
    19,524.42/29,290.95 = 9,130.50/x
  3. Step 3: Cross multiply
    19,524.42x = 29,290.95 × 9,130.50
  4. Step 4: Simplify right side
    19,524.42x = 267,441,018.98
  5. Step 5: Solve for x
    x = 267,441,018.98/19,524.42
  6. Step 6: Final answer
    x = 13,697.77

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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.