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Finding the Fourth Proportional to 23,483.99, 32,411.24 and 14,534.38

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Solution

The fourth proportional to 23,483.99, 32,411.24 and 14,534.38 is: 20,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,483.99 : 32,411.24 = 14,534.38 : x
  2. Step 2: Convert to fraction form
    23,483.99/32,411.24 = 14,534.38/x
  3. Step 3: Cross multiply
    23,483.99x = 32,411.24 × 14,534.38
  4. Step 4: Simplify right side
    23,483.99x = 471,077,152.71
  5. Step 5: Solve for x
    x = 471,077,152.71/23,483.99
  6. Step 6: Final answer
    x = 20,059.50

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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.