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Finding the Fourth Proportional to 12,869.47, 17,762.63 and 7,835.35

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Solution

The fourth proportional to 12,869.47, 17,762.63 and 7,835.35 is: 10,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.47 : 17,762.63 = 7,835.35 : x
  2. Step 2: Convert to fraction form
    12,869.47/17,762.63 = 7,835.35/x
  3. Step 3: Cross multiply
    12,869.47x = 17,762.63 × 7,835.35
  4. Step 4: Simplify right side
    12,869.47x = 139,176,422.97
  5. Step 5: Solve for x
    x = 139,176,422.97/12,869.47
  6. Step 6: Final answer
    x = 10,814.46

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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.