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Finding the Fourth Proportional to 15,301.76, 21,117.12 and 11,984

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Solution

The fourth proportional to 15,301.76, 21,117.12 and 11,984 is: 16,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,301.76 : 21,117.12 = 11,984 : x
  2. Step 2: Convert to fraction form
    15,301.76/21,117.12 = 11,984/x
  3. Step 3: Cross multiply
    15,301.76x = 21,117.12 × 11,984
  4. Step 4: Simplify right side
    15,301.76x = 253,067,566.08
  5. Step 5: Solve for x
    x = 253,067,566.08/15,301.76
  6. Step 6: Final answer
    x = 16,538.46

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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.