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Finding the Fourth Proportional to 12,526.16, 17,274.92 and 10,398.32

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Solution

The fourth proportional to 12,526.16, 17,274.92 and 10,398.32 is: 14,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.16 : 17,274.92 = 10,398.32 : x
  2. Step 2: Convert to fraction form
    12,526.16/17,274.92 = 10,398.32/x
  3. Step 3: Cross multiply
    12,526.16x = 17,274.92 × 10,398.32
  4. Step 4: Simplify right side
    12,526.16x = 179,630,146.13
  5. Step 5: Solve for x
    x = 179,630,146.13/12,526.16
  6. Step 6: Final answer
    x = 14,340.40

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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.