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Finding the Fourth Proportional to 14,592, 21,888.72 and 4,730.40

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Solution

The fourth proportional to 14,592, 21,888.72 and 4,730.40 is: 7,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592 : 21,888.72 = 4,730.40 : x
  2. Step 2: Convert to fraction form
    14,592/21,888.72 = 4,730.40/x
  3. Step 3: Cross multiply
    14,592x = 21,888.72 × 4,730.40
  4. Step 4: Simplify right side
    14,592x = 103,542,401.09
  5. Step 5: Solve for x
    x = 103,542,401.09/14,592
  6. Step 6: Final answer
    x = 7,095.83

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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.