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Finding the Fourth Proportional to 14,573.60, 21,827.51 and 10,210.53

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Solution

The fourth proportional to 14,573.60, 21,827.51 and 10,210.53 is: 15,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.60 : 21,827.51 = 10,210.53 : x
  2. Step 2: Convert to fraction form
    14,573.60/21,827.51 = 10,210.53/x
  3. Step 3: Cross multiply
    14,573.60x = 21,827.51 × 10,210.53
  4. Step 4: Simplify right side
    14,573.60x = 222,870,445.68
  5. Step 5: Solve for x
    x = 222,870,445.68/14,573.60
  6. Step 6: Final answer
    x = 15,292.75

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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.