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Finding the Fourth Proportional to 13,071.65, 18,038.90 and 7,103.39

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Solution

The fourth proportional to 13,071.65, 18,038.90 and 7,103.39 is: 9,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.65 : 18,038.90 = 7,103.39 : x
  2. Step 2: Convert to fraction form
    13,071.65/18,038.90 = 7,103.39/x
  3. Step 3: Cross multiply
    13,071.65x = 18,038.90 × 7,103.39
  4. Step 4: Simplify right side
    13,071.65x = 128,137,341.87
  5. Step 5: Solve for x
    x = 128,137,341.87/13,071.65
  6. Step 6: Final answer
    x = 9,802.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.