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Finding the Fourth Proportional to 19,327.60, 29,000.70 and 9,461.50

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Solution

The fourth proportional to 19,327.60, 29,000.70 and 9,461.50 is: 14,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,327.60 : 29,000.70 = 9,461.50 : x
  2. Step 2: Convert to fraction form
    19,327.60/29,000.70 = 9,461.50/x
  3. Step 3: Cross multiply
    19,327.60x = 29,000.70 × 9,461.50
  4. Step 4: Simplify right side
    19,327.60x = 274,390,123.05
  5. Step 5: Solve for x
    x = 274,390,123.05/19,327.60
  6. Step 6: Final answer
    x = 14,196.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.