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Finding the Fourth Proportional to 19,459.58, 29,197.46 and 9,598.97

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Solution

The fourth proportional to 19,459.58, 29,197.46 and 9,598.97 is: 14,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459.58 : 29,197.46 = 9,598.97 : x
  2. Step 2: Convert to fraction form
    19,459.58/29,197.46 = 9,598.97/x
  3. Step 3: Cross multiply
    19,459.58x = 29,197.46 × 9,598.97
  4. Step 4: Simplify right side
    19,459.58x = 280,265,639.61
  5. Step 5: Solve for x
    x = 280,265,639.61/19,459.58
  6. Step 6: Final answer
    x = 14,402.45

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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.