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Finding the Fourth Proportional to 14,039.58, 19,368.40 and 9,500.64

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Solution

The fourth proportional to 14,039.58, 19,368.40 and 9,500.64 is: 13,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,039.58 : 19,368.40 = 9,500.64 : x
  2. Step 2: Convert to fraction form
    14,039.58/19,368.40 = 9,500.64/x
  3. Step 3: Cross multiply
    14,039.58x = 19,368.40 × 9,500.64
  4. Step 4: Simplify right side
    14,039.58x = 184,012,195.78
  5. Step 5: Solve for x
    x = 184,012,195.78/14,039.58
  6. Step 6: Final answer
    x = 13,106.67

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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.