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Finding the Fourth Proportional to 14,429.71, 19,913.40 and 8,056.06

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Solution

The fourth proportional to 14,429.71, 19,913.40 and 8,056.06 is: 11,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.71 : 19,913.40 = 8,056.06 : x
  2. Step 2: Convert to fraction form
    14,429.71/19,913.40 = 8,056.06/x
  3. Step 3: Cross multiply
    14,429.71x = 19,913.40 × 8,056.06
  4. Step 4: Simplify right side
    14,429.71x = 160,423,621.09
  5. Step 5: Solve for x
    x = 160,423,621.09/14,429.71
  6. Step 6: Final answer
    x = 11,117.59

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