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Finding the Fourth Proportional to 10,509.60, 14,409.12 and 10,322.28

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Solution

The fourth proportional to 10,509.60, 14,409.12 and 10,322.28 is: 14,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.60 : 14,409.12 = 10,322.28 : x
  2. Step 2: Convert to fraction form
    10,509.60/14,409.12 = 10,322.28/x
  3. Step 3: Cross multiply
    10,509.60x = 14,409.12 × 10,322.28
  4. Step 4: Simplify right side
    10,509.60x = 148,734,971.19
  5. Step 5: Solve for x
    x = 148,734,971.19/10,509.60
  6. Step 6: Final answer
    x = 14,152.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.