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Finding the Fourth Proportional to 21,421.76, 29,556.22 and 13,032.32

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Solution

The fourth proportional to 21,421.76, 29,556.22 and 13,032.32 is: 17,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421.76 : 29,556.22 = 13,032.32 : x
  2. Step 2: Convert to fraction form
    21,421.76/29,556.22 = 13,032.32/x
  3. Step 3: Cross multiply
    21,421.76x = 29,556.22 × 13,032.32
  4. Step 4: Simplify right side
    21,421.76x = 385,186,117.03
  5. Step 5: Solve for x
    x = 385,186,117.03/21,421.76
  6. Step 6: Final answer
    x = 17,981.07

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