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Finding the Fourth Proportional to 23,620, 32,595.60 and 13,009.60

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Solution

The fourth proportional to 23,620, 32,595.60 and 13,009.60 is: 17,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,620 : 32,595.60 = 13,009.60 : x
  2. Step 2: Convert to fraction form
    23,620/32,595.60 = 13,009.60/x
  3. Step 3: Cross multiply
    23,620x = 32,595.60 × 13,009.60
  4. Step 4: Simplify right side
    23,620x = 424,055,717.76
  5. Step 5: Solve for x
    x = 424,055,717.76/23,620
  6. Step 6: Final answer
    x = 17,953.25

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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.