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Finding the Fourth Proportional to 23,376, 32,264.64 and 13,445.76

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Solution

The fourth proportional to 23,376, 32,264.64 and 13,445.76 is: 18,558.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376 : 32,264.64 = 13,445.76 : x
  2. Step 2: Convert to fraction form
    23,376/32,264.64 = 13,445.76/x
  3. Step 3: Cross multiply
    23,376x = 32,264.64 × 13,445.76
  4. Step 4: Simplify right side
    23,376x = 433,822,605.93
  5. Step 5: Solve for x
    x = 433,822,605.93/23,376
  6. Step 6: Final answer
    x = 18,558.46

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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.