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Finding the Fourth Proportional to 14,158.51, 19,538.32 and 7,785.11

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Solution

The fourth proportional to 14,158.51, 19,538.32 and 7,785.11 is: 10,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,158.51 : 19,538.32 = 7,785.11 : x
  2. Step 2: Convert to fraction form
    14,158.51/19,538.32 = 7,785.11/x
  3. Step 3: Cross multiply
    14,158.51x = 19,538.32 × 7,785.11
  4. Step 4: Simplify right side
    14,158.51x = 152,107,853.26
  5. Step 5: Solve for x
    x = 152,107,853.26/14,158.51
  6. Step 6: Final answer
    x = 10,743.21

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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.