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Finding the Fourth Proportional to 14,681.34, 22,029.30 and 7,285.50

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Solution

The fourth proportional to 14,681.34, 22,029.30 and 7,285.50 is: 10,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.34 : 22,029.30 = 7,285.50 : x
  2. Step 2: Convert to fraction form
    14,681.34/22,029.30 = 7,285.50/x
  3. Step 3: Cross multiply
    14,681.34x = 22,029.30 × 7,285.50
  4. Step 4: Simplify right side
    14,681.34x = 160,494,465.15
  5. Step 5: Solve for x
    x = 160,494,465.15/14,681.34
  6. Step 6: Final answer
    x = 10,931.87

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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.