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Finding the Fourth Proportional to 15,530.04, 21,429.54 and 11,331

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Solution

The fourth proportional to 15,530.04, 21,429.54 and 11,331 is: 15,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.04 : 21,429.54 = 11,331 : x
  2. Step 2: Convert to fraction form
    15,530.04/21,429.54 = 11,331/x
  3. Step 3: Cross multiply
    15,530.04x = 21,429.54 × 11,331
  4. Step 4: Simplify right side
    15,530.04x = 242,818,117.74
  5. Step 5: Solve for x
    x = 242,818,117.74/15,530.04
  6. Step 6: Final answer
    x = 15,635.38

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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.