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Finding the Fourth Proportional to 15,298.97, 21,111.32 and 10,825.34

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Solution

The fourth proportional to 15,298.97, 21,111.32 and 10,825.34 is: 14,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,298.97 : 21,111.32 = 10,825.34 : x
  2. Step 2: Convert to fraction form
    15,298.97/21,111.32 = 10,825.34/x
  3. Step 3: Cross multiply
    15,298.97x = 21,111.32 × 10,825.34
  4. Step 4: Simplify right side
    15,298.97x = 228,537,162.72
  5. Step 5: Solve for x
    x = 228,537,162.72/15,298.97
  6. Step 6: Final answer
    x = 14,938.08

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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.