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Finding the Fourth Proportional to 19,616.81, 29,417.43 and 7,130.02

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Solution

The fourth proportional to 19,616.81, 29,417.43 and 7,130.02 is: 10,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.81 : 29,417.43 = 7,130.02 : x
  2. Step 2: Convert to fraction form
    19,616.81/29,417.43 = 7,130.02/x
  3. Step 3: Cross multiply
    19,616.81x = 29,417.43 × 7,130.02
  4. Step 4: Simplify right side
    19,616.81x = 209,746,864.25
  5. Step 5: Solve for x
    x = 209,746,864.25/19,616.81
  6. Step 6: Final answer
    x = 10,692.20

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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.