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Finding the Fourth Proportional to 14,325.15, 21,488 and 4,965.47

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Solution

The fourth proportional to 14,325.15, 21,488 and 4,965.47 is: 7,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.15 : 21,488 = 4,965.47 : x
  2. Step 2: Convert to fraction form
    14,325.15/21,488 = 4,965.47/x
  3. Step 3: Cross multiply
    14,325.15x = 21,488 × 4,965.47
  4. Step 4: Simplify right side
    14,325.15x = 106,697,911.92
  5. Step 5: Solve for x
    x = 106,697,911.92/14,325.15
  6. Step 6: Final answer
    x = 7,448.30

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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.