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Finding the Fourth Proportional to 23,622.12, 32,597.58 and 13,011

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Solution

The fourth proportional to 23,622.12, 32,597.58 and 13,011 is: 17,954.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.12 : 32,597.58 = 13,011 : x
  2. Step 2: Convert to fraction form
    23,622.12/32,597.58 = 13,011/x
  3. Step 3: Cross multiply
    23,622.12x = 32,597.58 × 13,011
  4. Step 4: Simplify right side
    23,622.12x = 424,127,113.38
  5. Step 5: Solve for x
    x = 424,127,113.38/23,622.12
  6. Step 6: Final answer
    x = 17,954.66

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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.