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Finding the Fourth Proportional to 14,567.60, 21,812.52 and 12,818

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Solution

The fourth proportional to 14,567.60, 21,812.52 and 12,818 is: 19,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.60 : 21,812.52 = 12,818 : x
  2. Step 2: Convert to fraction form
    14,567.60/21,812.52 = 12,818/x
  3. Step 3: Cross multiply
    14,567.60x = 21,812.52 × 12,818
  4. Step 4: Simplify right side
    14,567.60x = 279,592,881.36
  5. Step 5: Solve for x
    x = 279,592,881.36/14,567.60
  6. Step 6: Final answer
    x = 19,192.79

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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.