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Finding the Fourth Proportional to 21,398.40, 32,097.60 and 19,430.10

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Solution

The fourth proportional to 21,398.40, 32,097.60 and 19,430.10 is: 29,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,398.40 : 32,097.60 = 19,430.10 : x
  2. Step 2: Convert to fraction form
    21,398.40/32,097.60 = 19,430.10/x
  3. Step 3: Cross multiply
    21,398.40x = 32,097.60 × 19,430.10
  4. Step 4: Simplify right side
    21,398.40x = 623,659,577.76
  5. Step 5: Solve for x
    x = 623,659,577.76/21,398.40
  6. Step 6: Final answer
    x = 29,145.15

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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.