Home / 22,534-31,091.64-13,097.20

Finding the Fourth Proportional to 22,534, 31,091.64 and 13,097.20

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Solution

The fourth proportional to 22,534, 31,091.64 and 13,097.20 is: 18,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534 : 31,091.64 = 13,097.20 : x
  2. Step 2: Convert to fraction form
    22,534/31,091.64 = 13,097.20/x
  3. Step 3: Cross multiply
    22,534x = 31,091.64 × 13,097.20
  4. Step 4: Simplify right side
    22,534x = 407,213,427.41
  5. Step 5: Solve for x
    x = 407,213,427.41/22,534
  6. Step 6: Final answer
    x = 18,071.07

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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.