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Finding the Fourth Proportional to 13,056.66, 19,567.71 and 6,116.58

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Solution

The fourth proportional to 13,056.66, 19,567.71 and 6,116.58 is: 9,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056.66 : 19,567.71 = 6,116.58 : x
  2. Step 2: Convert to fraction form
    13,056.66/19,567.71 = 6,116.58/x
  3. Step 3: Cross multiply
    13,056.66x = 19,567.71 × 6,116.58
  4. Step 4: Simplify right side
    13,056.66x = 119,687,463.63
  5. Step 5: Solve for x
    x = 119,687,463.63/13,056.66
  6. Step 6: Final answer
    x = 9,166.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.