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Finding the Fourth Proportional to 19,605.42, 29,391.60 and 8,503.75

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Solution

The fourth proportional to 19,605.42, 29,391.60 and 8,503.75 is: 12,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.42 : 29,391.60 = 8,503.75 : x
  2. Step 2: Convert to fraction form
    19,605.42/29,391.60 = 8,503.75/x
  3. Step 3: Cross multiply
    19,605.42x = 29,391.60 × 8,503.75
  4. Step 4: Simplify right side
    19,605.42x = 249,938,818.50
  5. Step 5: Solve for x
    x = 249,938,818.50/19,605.42
  6. Step 6: Final answer
    x = 12,748.46

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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.