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Finding the Fourth Proportional to 13,808.66, 19,056.74 and 8,146.72

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Solution

The fourth proportional to 13,808.66, 19,056.74 and 8,146.72 is: 11,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.66 : 19,056.74 = 8,146.72 : x
  2. Step 2: Convert to fraction form
    13,808.66/19,056.74 = 8,146.72/x
  3. Step 3: Cross multiply
    13,808.66x = 19,056.74 × 8,146.72
  4. Step 4: Simplify right side
    13,808.66x = 155,249,924.89
  5. Step 5: Solve for x
    x = 155,249,924.89/13,808.66
  6. Step 6: Final answer
    x = 11,242.94

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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.