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Finding the Fourth Proportional to 12,903.04, 19,360.44 and 7,648.42

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Solution

The fourth proportional to 12,903.04, 19,360.44 and 7,648.42 is: 11,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.04 : 19,360.44 = 7,648.42 : x
  2. Step 2: Convert to fraction form
    12,903.04/19,360.44 = 7,648.42/x
  3. Step 3: Cross multiply
    12,903.04x = 19,360.44 × 7,648.42
  4. Step 4: Simplify right side
    12,903.04x = 148,076,776.50
  5. Step 5: Solve for x
    x = 148,076,776.50/12,903.04
  6. Step 6: Final answer
    x = 11,476.12

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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.