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Finding the Fourth Proportional to 14,158.10, 19,538.32 and 7,785.02

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Solution

The fourth proportional to 14,158.10, 19,538.32 and 7,785.02 is: 10,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.10 : 19,538.32 = 7,785.02 : x
  2. Step 2: Convert to fraction form
    14,158.10/19,538.32 = 7,785.02/x
  3. Step 3: Cross multiply
    14,158.10x = 19,538.32 × 7,785.02
  4. Step 4: Simplify right side
    14,158.10x = 152,106,211.97
  5. Step 5: Solve for x
    x = 152,106,211.97/14,158.10
  6. Step 6: Final answer
    x = 10,743.41

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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.