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Finding the Fourth Proportional to 19,400.84, 29,114 and 10,641.90

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Solution

The fourth proportional to 19,400.84, 29,114 and 10,641.90 is: 15,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400.84 : 29,114 = 10,641.90 : x
  2. Step 2: Convert to fraction form
    19,400.84/29,114 = 10,641.90/x
  3. Step 3: Cross multiply
    19,400.84x = 29,114 × 10,641.90
  4. Step 4: Simplify right side
    19,400.84x = 309,828,276.60
  5. Step 5: Solve for x
    x = 309,828,276.60/19,400.84
  6. Step 6: Final answer
    x = 15,969.84

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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.