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Finding the Fourth Proportional to 14,307.16, 19,742.80 and 8,018.32

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Solution

The fourth proportional to 14,307.16, 19,742.80 and 8,018.32 is: 11,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.16 : 19,742.80 = 8,018.32 : x
  2. Step 2: Convert to fraction form
    14,307.16/19,742.80 = 8,018.32/x
  3. Step 3: Cross multiply
    14,307.16x = 19,742.80 × 8,018.32
  4. Step 4: Simplify right side
    14,307.16x = 158,303,989.38
  5. Step 5: Solve for x
    x = 158,303,989.38/14,307.16
  6. Step 6: Final answer
    x = 11,064.67

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Why These Related Problems?

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