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Finding the Fourth Proportional to 14,606.40, 21,911.67 and 4,742.52

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Solution

The fourth proportional to 14,606.40, 21,911.67 and 4,742.52 is: 7,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.40 : 21,911.67 = 4,742.52 : x
  2. Step 2: Convert to fraction form
    14,606.40/21,911.67 = 4,742.52/x
  3. Step 3: Cross multiply
    14,606.40x = 21,911.67 × 4,742.52
  4. Step 4: Simplify right side
    14,606.40x = 103,916,533.21
  5. Step 5: Solve for x
    x = 103,916,533.21/14,606.40
  6. Step 6: Final answer
    x = 7,114.45

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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.