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Finding the Fourth Proportional to 14,258, 19,684.68 and 9,298.64

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Solution

The fourth proportional to 14,258, 19,684.68 and 9,298.64 is: 12,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258 : 19,684.68 = 9,298.64 : x
  2. Step 2: Convert to fraction form
    14,258/19,684.68 = 9,298.64/x
  3. Step 3: Cross multiply
    14,258x = 19,684.68 × 9,298.64
  4. Step 4: Simplify right side
    14,258x = 183,040,752.84
  5. Step 5: Solve for x
    x = 183,040,752.84/14,258
  6. Step 6: Final answer
    x = 12,837.76

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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.