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Finding the Fourth Proportional to 19,897.40, 29,802.90 and 16,441.40

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Solution

The fourth proportional to 19,897.40, 29,802.90 and 16,441.40 is: 24,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.40 : 29,802.90 = 16,441.40 : x
  2. Step 2: Convert to fraction form
    19,897.40/29,802.90 = 16,441.40/x
  3. Step 3: Cross multiply
    19,897.40x = 29,802.90 × 16,441.40
  4. Step 4: Simplify right side
    19,897.40x = 490,001,400.06
  5. Step 5: Solve for x
    x = 490,001,400.06/19,897.40
  6. Step 6: Final answer
    x = 24,626.40

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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.