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Finding the Fourth Proportional to 18,698.24, 25,803.59 and 10,742.01

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Solution

The fourth proportional to 18,698.24, 25,803.59 and 10,742.01 is: 14,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,698.24 : 25,803.59 = 10,742.01 : x
  2. Step 2: Convert to fraction form
    18,698.24/25,803.59 = 10,742.01/x
  3. Step 3: Cross multiply
    18,698.24x = 25,803.59 × 10,742.01
  4. Step 4: Simplify right side
    18,698.24x = 277,182,421.82
  5. Step 5: Solve for x
    x = 277,182,421.82/18,698.24
  6. Step 6: Final answer
    x = 14,823.98

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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.