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Finding the Fourth Proportional to 15,970.58, 22,039.72 and 9,258.38

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Solution

The fourth proportional to 15,970.58, 22,039.72 and 9,258.38 is: 12,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.58 : 22,039.72 = 9,258.38 : x
  2. Step 2: Convert to fraction form
    15,970.58/22,039.72 = 9,258.38/x
  3. Step 3: Cross multiply
    15,970.58x = 22,039.72 × 9,258.38
  4. Step 4: Simplify right side
    15,970.58x = 204,051,969.51
  5. Step 5: Solve for x
    x = 204,051,969.51/15,970.58
  6. Step 6: Final answer
    x = 12,776.75

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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.