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Finding the Fourth Proportional to 14,312.56, 19,751.32 and 8,723.56

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Solution

The fourth proportional to 14,312.56, 19,751.32 and 8,723.56 is: 12,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.56 : 19,751.32 = 8,723.56 : x
  2. Step 2: Convert to fraction form
    14,312.56/19,751.32 = 8,723.56/x
  3. Step 3: Cross multiply
    14,312.56x = 19,751.32 × 8,723.56
  4. Step 4: Simplify right side
    14,312.56x = 172,301,682.72
  5. Step 5: Solve for x
    x = 172,301,682.72/14,312.56
  6. Step 6: Final answer
    x = 12,038.50

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1.5x scale

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.