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Finding the Fourth Proportional to 10,280.40, 15,408.54 and 9,045.24

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Solution

The fourth proportional to 10,280.40, 15,408.54 and 9,045.24 is: 13,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.40 : 15,408.54 = 9,045.24 : x
  2. Step 2: Convert to fraction form
    10,280.40/15,408.54 = 9,045.24/x
  3. Step 3: Cross multiply
    10,280.40x = 15,408.54 × 9,045.24
  4. Step 4: Simplify right side
    10,280.40x = 139,373,942.35
  5. Step 5: Solve for x
    x = 139,373,942.35/10,280.40
  6. Step 6: Final answer
    x = 13,557.25

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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.