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Finding the Fourth Proportional to 17,053.16, 25,595.73 and 10,492.16

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Solution

The fourth proportional to 17,053.16, 25,595.73 and 10,492.16 is: 15,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,053.16 : 25,595.73 = 10,492.16 : x
  2. Step 2: Convert to fraction form
    17,053.16/25,595.73 = 10,492.16/x
  3. Step 3: Cross multiply
    17,053.16x = 25,595.73 × 10,492.16
  4. Step 4: Simplify right side
    17,053.16x = 268,554,366.50
  5. Step 5: Solve for x
    x = 268,554,366.50/17,053.16
  6. Step 6: Final answer
    x = 15,748.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.