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Finding the Fourth Proportional to 12,830.32, 17,708.80 and 7,526.84

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Solution

The fourth proportional to 12,830.32, 17,708.80 and 7,526.84 is: 10,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.32 : 17,708.80 = 7,526.84 : x
  2. Step 2: Convert to fraction form
    12,830.32/17,708.80 = 7,526.84/x
  3. Step 3: Cross multiply
    12,830.32x = 17,708.80 × 7,526.84
  4. Step 4: Simplify right side
    12,830.32x = 133,291,304.19
  5. Step 5: Solve for x
    x = 133,291,304.19/12,830.32
  6. Step 6: Final answer
    x = 10,388.77

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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.