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Finding the Fourth Proportional to 18,569.04, 25,624.80 and 10,185

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Solution

The fourth proportional to 18,569.04, 25,624.80 and 10,185 is: 14,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569.04 : 25,624.80 = 10,185 : x
  2. Step 2: Convert to fraction form
    18,569.04/25,624.80 = 10,185/x
  3. Step 3: Cross multiply
    18,569.04x = 25,624.80 × 10,185
  4. Step 4: Simplify right side
    18,569.04x = 260,988,588
  5. Step 5: Solve for x
    x = 260,988,588/18,569.04
  6. Step 6: Final answer
    x = 14,055.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.