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Finding the Fourth Proportional to 14,762.96, 22,051.30 and 12,430.16

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Solution

The fourth proportional to 14,762.96, 22,051.30 and 12,430.16 is: 18,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.96 : 22,051.30 = 12,430.16 : x
  2. Step 2: Convert to fraction form
    14,762.96/22,051.30 = 12,430.16/x
  3. Step 3: Cross multiply
    14,762.96x = 22,051.30 × 12,430.16
  4. Step 4: Simplify right side
    14,762.96x = 274,101,187.21
  5. Step 5: Solve for x
    x = 274,101,187.21/14,762.96
  6. Step 6: Final answer
    x = 18,566.82

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1.5x scale

Why These Related Problems?

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