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Finding the Fourth Proportional to 14,419.83, 19,869.83 and 10,637

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Solution

The fourth proportional to 14,419.83, 19,869.83 and 10,637 is: 14,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.83 : 19,869.83 = 10,637 : x
  2. Step 2: Convert to fraction form
    14,419.83/19,869.83 = 10,637/x
  3. Step 3: Cross multiply
    14,419.83x = 19,869.83 × 10,637
  4. Step 4: Simplify right side
    14,419.83x = 211,355,381.71
  5. Step 5: Solve for x
    x = 211,355,381.71/14,419.83
  6. Step 6: Final answer
    x = 14,657.27

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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.