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Finding the Fourth Proportional to 14,477.64, 19,969.66 and 11,488.76

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Solution

The fourth proportional to 14,477.64, 19,969.66 and 11,488.76 is: 15,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.64 : 19,969.66 = 11,488.76 : x
  2. Step 2: Convert to fraction form
    14,477.64/19,969.66 = 11,488.76/x
  3. Step 3: Cross multiply
    14,477.64x = 19,969.66 × 11,488.76
  4. Step 4: Simplify right side
    14,477.64x = 229,426,631.02
  5. Step 5: Solve for x
    x = 229,426,631.02/14,477.64
  6. Step 6: Final answer
    x = 15,846.96

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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.