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Finding the Fourth Proportional to 23,507.84, 32,422.71 and 16,337.67

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Solution

The fourth proportional to 23,507.84, 32,422.71 and 16,337.67 is: 22,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.84 : 32,422.71 = 16,337.67 : x
  2. Step 2: Convert to fraction form
    23,507.84/32,422.71 = 16,337.67/x
  3. Step 3: Cross multiply
    23,507.84x = 32,422.71 × 16,337.67
  4. Step 4: Simplify right side
    23,507.84x = 529,711,536.49
  5. Step 5: Solve for x
    x = 529,711,536.49/23,507.84
  6. Step 6: Final answer
    x = 22,533.40

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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.