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Finding the Fourth Proportional to 21,569.69, 32,362.54 and 9,719.87

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Solution

The fourth proportional to 21,569.69, 32,362.54 and 9,719.87 is: 14,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,569.69 : 32,362.54 = 9,719.87 : x
  2. Step 2: Convert to fraction form
    21,569.69/32,362.54 = 9,719.87/x
  3. Step 3: Cross multiply
    21,569.69x = 32,362.54 × 9,719.87
  4. Step 4: Simplify right side
    21,569.69x = 314,559,495.56
  5. Step 5: Solve for x
    x = 314,559,495.56/21,569.69
  6. Step 6: Final answer
    x = 14,583.40

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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.