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Finding the Fourth Proportional to 12,678.32, 19,023.24 and 6,526.64

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Solution

The fourth proportional to 12,678.32, 19,023.24 and 6,526.64 is: 9,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.32 : 19,023.24 = 6,526.64 : x
  2. Step 2: Convert to fraction form
    12,678.32/19,023.24 = 6,526.64/x
  3. Step 3: Cross multiply
    12,678.32x = 19,023.24 × 6,526.64
  4. Step 4: Simplify right side
    12,678.32x = 124,157,839.11
  5. Step 5: Solve for x
    x = 124,157,839.11/12,678.32
  6. Step 6: Final answer
    x = 9,792.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.