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Finding the Fourth Proportional to 13,658.42, 20,492.52 and 5,762.90

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Solution

The fourth proportional to 13,658.42, 20,492.52 and 5,762.90 is: 8,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.42 : 20,492.52 = 5,762.90 : x
  2. Step 2: Convert to fraction form
    13,658.42/20,492.52 = 5,762.90/x
  3. Step 3: Cross multiply
    13,658.42x = 20,492.52 × 5,762.90
  4. Step 4: Simplify right side
    13,658.42x = 118,096,343.51
  5. Step 5: Solve for x
    x = 118,096,343.51/13,658.42
  6. Step 6: Final answer
    x = 8,646.41

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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.