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Finding the Fourth Proportional to 13,071.54, 19,602.12 and 4,747.02

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Solution

The fourth proportional to 13,071.54, 19,602.12 and 4,747.02 is: 7,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.54 : 19,602.12 = 4,747.02 : x
  2. Step 2: Convert to fraction form
    13,071.54/19,602.12 = 4,747.02/x
  3. Step 3: Cross multiply
    13,071.54x = 19,602.12 × 4,747.02
  4. Step 4: Simplify right side
    13,071.54x = 93,051,557.67
  5. Step 5: Solve for x
    x = 93,051,557.67/13,071.54
  6. Step 6: Final answer
    x = 7,118.64

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Why These Related Problems?

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