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Finding the Fourth Proportional to 13,794.16, 19,036.20 and 7,506.76

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Solution

The fourth proportional to 13,794.16, 19,036.20 and 7,506.76 is: 10,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.16 : 19,036.20 = 7,506.76 : x
  2. Step 2: Convert to fraction form
    13,794.16/19,036.20 = 7,506.76/x
  3. Step 3: Cross multiply
    13,794.16x = 19,036.20 × 7,506.76
  4. Step 4: Simplify right side
    13,794.16x = 142,900,184.71
  5. Step 5: Solve for x
    x = 142,900,184.71/13,794.16
  6. Step 6: Final answer
    x = 10,359.47

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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.