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Finding the Fourth Proportional to 14,429.90, 19,913.16 and 8,056.11

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Solution

The fourth proportional to 14,429.90, 19,913.16 and 8,056.11 is: 11,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.90 : 19,913.16 = 8,056.11 : x
  2. Step 2: Convert to fraction form
    14,429.90/19,913.16 = 8,056.11/x
  3. Step 3: Cross multiply
    14,429.90x = 19,913.16 × 8,056.11
  4. Step 4: Simplify right side
    14,429.90x = 160,422,607.41
  5. Step 5: Solve for x
    x = 160,422,607.41/14,429.90
  6. Step 6: Final answer
    x = 11,117.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.