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Finding the Fourth Proportional to 12,870.69, 17,762.35 and 7,493.24

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Solution

The fourth proportional to 12,870.69, 17,762.35 and 7,493.24 is: 10,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.69 : 17,762.35 = 7,493.24 : x
  2. Step 2: Convert to fraction form
    12,870.69/17,762.35 = 7,493.24/x
  3. Step 3: Cross multiply
    12,870.69x = 17,762.35 × 7,493.24
  4. Step 4: Simplify right side
    12,870.69x = 133,097,425.24
  5. Step 5: Solve for x
    x = 133,097,425.24/12,870.69
  6. Step 6: Final answer
    x = 10,341.13

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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.