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Finding the Fourth Proportional to 14,277.98, 19,709.79 and 10,742.06

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Solution

The fourth proportional to 14,277.98, 19,709.79 and 10,742.06 is: 14,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277.98 : 19,709.79 = 10,742.06 : x
  2. Step 2: Convert to fraction form
    14,277.98/19,709.79 = 10,742.06/x
  3. Step 3: Cross multiply
    14,277.98x = 19,709.79 × 10,742.06
  4. Step 4: Simplify right side
    14,277.98x = 211,723,746.77
  5. Step 5: Solve for x
    x = 211,723,746.77/14,277.98
  6. Step 6: Final answer
    x = 14,828.69

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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.