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Finding the Fourth Proportional to 18,497.16, 25,526.16 and 10,113.84

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Solution

The fourth proportional to 18,497.16, 25,526.16 and 10,113.84 is: 13,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.16 : 25,526.16 = 10,113.84 : x
  2. Step 2: Convert to fraction form
    18,497.16/25,526.16 = 10,113.84/x
  3. Step 3: Cross multiply
    18,497.16x = 25,526.16 × 10,113.84
  4. Step 4: Simplify right side
    18,497.16x = 258,167,498.05
  5. Step 5: Solve for x
    x = 258,167,498.05/18,497.16
  6. Step 6: Final answer
    x = 13,957.14

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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.