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Finding the Fourth Proportional to 14,065.56, 19,405.53 and 9,029.34

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Solution

The fourth proportional to 14,065.56, 19,405.53 and 9,029.34 is: 12,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.56 : 19,405.53 = 9,029.34 : x
  2. Step 2: Convert to fraction form
    14,065.56/19,405.53 = 9,029.34/x
  3. Step 3: Cross multiply
    14,065.56x = 19,405.53 × 9,029.34
  4. Step 4: Simplify right side
    14,065.56x = 175,219,128.25
  5. Step 5: Solve for x
    x = 175,219,128.25/14,065.56
  6. Step 6: Final answer
    x = 12,457.32

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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.