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Finding the Fourth Proportional to 14,927.40, 22,392 and 4,538.40

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Solution

The fourth proportional to 14,927.40, 22,392 and 4,538.40 is: 6,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,927.40 : 22,392 = 4,538.40 : x
  2. Step 2: Convert to fraction form
    14,927.40/22,392 = 4,538.40/x
  3. Step 3: Cross multiply
    14,927.40x = 22,392 × 4,538.40
  4. Step 4: Simplify right side
    14,927.40x = 101,623,852.80
  5. Step 5: Solve for x
    x = 101,623,852.80/14,927.40
  6. Step 6: Final answer
    x = 6,807.87

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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.