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Finding the Fourth Proportional to 19,665.30, 29,492.79 and 13,424.16

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Solution

The fourth proportional to 19,665.30, 29,492.79 and 13,424.16 is: 20,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.30 : 29,492.79 = 13,424.16 : x
  2. Step 2: Convert to fraction form
    19,665.30/29,492.79 = 13,424.16/x
  3. Step 3: Cross multiply
    19,665.30x = 29,492.79 × 13,424.16
  4. Step 4: Simplify right side
    19,665.30x = 395,915,931.81
  5. Step 5: Solve for x
    x = 395,915,931.81/19,665.30
  6. Step 6: Final answer
    x = 20,132.72

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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.