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Finding the Fourth Proportional to 12,658.81, 17,470.88 and 9,509.53

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Solution

The fourth proportional to 12,658.81, 17,470.88 and 9,509.53 is: 13,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.81 : 17,470.88 = 9,509.53 : x
  2. Step 2: Convert to fraction form
    12,658.81/17,470.88 = 9,509.53/x
  3. Step 3: Cross multiply
    12,658.81x = 17,470.88 × 9,509.53
  4. Step 4: Simplify right side
    12,658.81x = 166,139,857.49
  5. Step 5: Solve for x
    x = 166,139,857.49/12,658.81
  6. Step 6: Final answer
    x = 13,124.45

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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.