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Finding the Fourth Proportional to 14,719.84, 20,312.80 and 8,005.46

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Solution

The fourth proportional to 14,719.84, 20,312.80 and 8,005.46 is: 11,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.84 : 20,312.80 = 8,005.46 : x
  2. Step 2: Convert to fraction form
    14,719.84/20,312.80 = 8,005.46/x
  3. Step 3: Cross multiply
    14,719.84x = 20,312.80 × 8,005.46
  4. Step 4: Simplify right side
    14,719.84x = 162,613,267.86
  5. Step 5: Solve for x
    x = 162,613,267.86/14,719.84
  6. Step 6: Final answer
    x = 11,047.22

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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.