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Finding the Fourth Proportional to 28,307.12, 42,466.95 and 9,585.59

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Solution

The fourth proportional to 28,307.12, 42,466.95 and 9,585.59 is: 14,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,307.12 : 42,466.95 = 9,585.59 : x
  2. Step 2: Convert to fraction form
    28,307.12/42,466.95 = 9,585.59/x
  3. Step 3: Cross multiply
    28,307.12x = 42,466.95 × 9,585.59
  4. Step 4: Simplify right side
    28,307.12x = 407,070,558.92
  5. Step 5: Solve for x
    x = 407,070,558.92/28,307.12
  6. Step 6: Final answer
    x = 14,380.50

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Why These Related Problems?

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