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Finding the Fourth Proportional to 28,298.25, 42,466.82 and 9,830.25

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Solution

The fourth proportional to 28,298.25, 42,466.82 and 9,830.25 is: 14,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,298.25 : 42,466.82 = 9,830.25 : x
  2. Step 2: Convert to fraction form
    28,298.25/42,466.82 = 9,830.25/x
  3. Step 3: Cross multiply
    28,298.25x = 42,466.82 × 9,830.25
  4. Step 4: Simplify right side
    28,298.25x = 417,459,408.15
  5. Step 5: Solve for x
    x = 417,459,408.15/28,298.25
  6. Step 6: Final answer
    x = 14,752.13

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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.