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Finding the Fourth Proportional to 24,307.94, 36,466.80 and 7,670.54

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Solution

The fourth proportional to 24,307.94, 36,466.80 and 7,670.54 is: 11,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.94 : 36,466.80 = 7,670.54 : x
  2. Step 2: Convert to fraction form
    24,307.94/36,466.80 = 7,670.54/x
  3. Step 3: Cross multiply
    24,307.94x = 36,466.80 × 7,670.54
  4. Step 4: Simplify right side
    24,307.94x = 279,720,048.07
  5. Step 5: Solve for x
    x = 279,720,048.07/24,307.94
  6. Step 6: Final answer
    x = 11,507.35

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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.