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Finding the Fourth Proportional to 14,095.91, 21,157.71 and 10,594.50

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Solution

The fourth proportional to 14,095.91, 21,157.71 and 10,594.50 is: 15,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.91 : 21,157.71 = 10,594.50 : x
  2. Step 2: Convert to fraction form
    14,095.91/21,157.71 = 10,594.50/x
  3. Step 3: Cross multiply
    14,095.91x = 21,157.71 × 10,594.50
  4. Step 4: Simplify right side
    14,095.91x = 224,155,239.52
  5. Step 5: Solve for x
    x = 224,155,239.52/14,095.91
  6. Step 6: Final answer
    x = 15,902.15

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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.