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Finding the Fourth Proportional to 23,528, 32,468.64 and 13,592

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Solution

The fourth proportional to 23,528, 32,468.64 and 13,592 is: 18,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,528 : 32,468.64 = 13,592 : x
  2. Step 2: Convert to fraction form
    23,528/32,468.64 = 13,592/x
  3. Step 3: Cross multiply
    23,528x = 32,468.64 × 13,592
  4. Step 4: Simplify right side
    23,528x = 441,313,754.88
  5. Step 5: Solve for x
    x = 441,313,754.88/23,528
  6. Step 6: Final answer
    x = 18,756.96

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Why These Related Problems?

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