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Finding the Fourth Proportional to 13,210.54, 19,678.16 and 12,509.34

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Solution

The fourth proportional to 13,210.54, 19,678.16 and 12,509.34 is: 18,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.54 : 19,678.16 = 12,509.34 : x
  2. Step 2: Convert to fraction form
    13,210.54/19,678.16 = 12,509.34/x
  3. Step 3: Cross multiply
    13,210.54x = 19,678.16 × 12,509.34
  4. Step 4: Simplify right side
    13,210.54x = 246,160,794.01
  5. Step 5: Solve for x
    x = 246,160,794.01/13,210.54
  6. Step 6: Final answer
    x = 18,633.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.