Home / 13,956-19,258.76-7,582.32

Finding the Fourth Proportional to 13,956, 19,258.76 and 7,582.32

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Solution

The fourth proportional to 13,956, 19,258.76 and 7,582.32 is: 10,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956 : 19,258.76 = 7,582.32 : x
  2. Step 2: Convert to fraction form
    13,956/19,258.76 = 7,582.32/x
  3. Step 3: Cross multiply
    13,956x = 19,258.76 × 7,582.32
  4. Step 4: Simplify right side
    13,956x = 146,026,081.12
  5. Step 5: Solve for x
    x = 146,026,081.12/13,956
  6. Step 6: Final answer
    x = 10,463.32

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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.