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Finding the Fourth Proportional to 14,411.16, 21,615.93 and 5,051.61

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Solution

The fourth proportional to 14,411.16, 21,615.93 and 5,051.61 is: 7,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.16 : 21,615.93 = 5,051.61 : x
  2. Step 2: Convert to fraction form
    14,411.16/21,615.93 = 5,051.61/x
  3. Step 3: Cross multiply
    14,411.16x = 21,615.93 × 5,051.61
  4. Step 4: Simplify right side
    14,411.16x = 109,195,248.15
  5. Step 5: Solve for x
    x = 109,195,248.15/14,411.16
  6. Step 6: Final answer
    x = 7,577.13

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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.