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Finding the Fourth Proportional to 10,332.65, 15,396.36 and 9,830.58

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Solution

The fourth proportional to 10,332.65, 15,396.36 and 9,830.58 is: 14,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.65 : 15,396.36 = 9,830.58 : x
  2. Step 2: Convert to fraction form
    10,332.65/15,396.36 = 9,830.58/x
  3. Step 3: Cross multiply
    10,332.65x = 15,396.36 × 9,830.58
  4. Step 4: Simplify right side
    10,332.65x = 151,355,148.69
  5. Step 5: Solve for x
    x = 151,355,148.69/10,332.65
  6. Step 6: Final answer
    x = 14,648.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.