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Finding the Fourth Proportional to 14,369.16, 21,539.16 and 10,209

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Solution

The fourth proportional to 14,369.16, 21,539.16 and 10,209 is: 15,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.16 : 21,539.16 = 10,209 : x
  2. Step 2: Convert to fraction form
    14,369.16/21,539.16 = 10,209/x
  3. Step 3: Cross multiply
    14,369.16x = 21,539.16 × 10,209
  4. Step 4: Simplify right side
    14,369.16x = 219,893,284.44
  5. Step 5: Solve for x
    x = 219,893,284.44/14,369.16
  6. Step 6: Final answer
    x = 15,303.14

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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.