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Finding the Fourth Proportional to 25,587.31, 35,313.08 and 14,258.65

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Solution

The fourth proportional to 25,587.31, 35,313.08 and 14,258.65 is: 19,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,587.31 : 35,313.08 = 14,258.65 : x
  2. Step 2: Convert to fraction form
    25,587.31/35,313.08 = 14,258.65/x
  3. Step 3: Cross multiply
    25,587.31x = 35,313.08 × 14,258.65
  4. Step 4: Simplify right side
    25,587.31x = 503,516,848.14
  5. Step 5: Solve for x
    x = 503,516,848.14/25,587.31
  6. Step 6: Final answer
    x = 19,678.38

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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.