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Finding the Fourth Proportional to 23,347.50, 32,219.55 and 14,964

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Solution

The fourth proportional to 23,347.50, 32,219.55 and 14,964 is: 20,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.50 : 32,219.55 = 14,964 : x
  2. Step 2: Convert to fraction form
    23,347.50/32,219.55 = 14,964/x
  3. Step 3: Cross multiply
    23,347.50x = 32,219.55 × 14,964
  4. Step 4: Simplify right side
    23,347.50x = 482,133,346.20
  5. Step 5: Solve for x
    x = 482,133,346.20/23,347.50
  6. Step 6: Final answer
    x = 20,650.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.