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Finding the Fourth Proportional to 19,423.80, 29,135.70 and 9,582.30

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Solution

The fourth proportional to 19,423.80, 29,135.70 and 9,582.30 is: 14,373.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423.80 : 29,135.70 = 9,582.30 : x
  2. Step 2: Convert to fraction form
    19,423.80/29,135.70 = 9,582.30/x
  3. Step 3: Cross multiply
    19,423.80x = 29,135.70 × 9,582.30
  4. Step 4: Simplify right side
    19,423.80x = 279,187,018.11
  5. Step 5: Solve for x
    x = 279,187,018.11/19,423.80
  6. Step 6: Final answer
    x = 14,373.45

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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.