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Finding the Fourth Proportional to 14,854.16, 22,281.60 and 4,466

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Solution

The fourth proportional to 14,854.16, 22,281.60 and 4,466 is: 6,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.16 : 22,281.60 = 4,466 : x
  2. Step 2: Convert to fraction form
    14,854.16/22,281.60 = 4,466/x
  3. Step 3: Cross multiply
    14,854.16x = 22,281.60 × 4,466
  4. Step 4: Simplify right side
    14,854.16x = 99,509,625.60
  5. Step 5: Solve for x
    x = 99,509,625.60/14,854.16
  6. Step 6: Final answer
    x = 6,699.11

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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.