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Finding the Fourth Proportional to 15,953.94, 23,931.90 and 4,861.40

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Solution

The fourth proportional to 15,953.94, 23,931.90 and 4,861.40 is: 7,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.94 : 23,931.90 = 4,861.40 : x
  2. Step 2: Convert to fraction form
    15,953.94/23,931.90 = 4,861.40/x
  3. Step 3: Cross multiply
    15,953.94x = 23,931.90 × 4,861.40
  4. Step 4: Simplify right side
    15,953.94x = 116,342,419.00
  5. Step 5: Solve for x
    x = 116,342,419.00/15,953.94
  6. Step 6: Final answer
    x = 7,292.39

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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.