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Finding the Fourth Proportional to 28,307.70, 42,460.20 and 9,585.90

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Solution

The fourth proportional to 28,307.70, 42,460.20 and 9,585.90 is: 14,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,307.70 : 42,460.20 = 9,585.90 : x
  2. Step 2: Convert to fraction form
    28,307.70/42,460.20 = 9,585.90/x
  3. Step 3: Cross multiply
    28,307.70x = 42,460.20 × 9,585.90
  4. Step 4: Simplify right side
    28,307.70x = 407,019,231.18
  5. Step 5: Solve for x
    x = 407,019,231.18/28,307.70
  6. Step 6: Final answer
    x = 14,378.39

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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.