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Finding the Fourth Proportional to 14,394, 21,592.32 and 4,005.84

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Solution

The fourth proportional to 14,394, 21,592.32 and 4,005.84 is: 6,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394 : 21,592.32 = 4,005.84 : x
  2. Step 2: Convert to fraction form
    14,394/21,592.32 = 4,005.84/x
  3. Step 3: Cross multiply
    14,394x = 21,592.32 × 4,005.84
  4. Step 4: Simplify right side
    14,394x = 86,495,379.15
  5. Step 5: Solve for x
    x = 86,495,379.15/14,394
  6. Step 6: Final answer
    x = 6,009.13

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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.