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Finding the Fourth Proportional to 12,386.53, 18,585.29 and 5,005.40

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Solution

The fourth proportional to 12,386.53, 18,585.29 and 5,005.40 is: 7,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.53 : 18,585.29 = 5,005.40 : x
  2. Step 2: Convert to fraction form
    12,386.53/18,585.29 = 5,005.40/x
  3. Step 3: Cross multiply
    12,386.53x = 18,585.29 × 5,005.40
  4. Step 4: Simplify right side
    12,386.53x = 93,026,869.54
  5. Step 5: Solve for x
    x = 93,026,869.54/12,386.53
  6. Step 6: Final answer
    x = 7,510.33

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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.