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Finding the Fourth Proportional to 16,430.48, 22,684.46 and 12,646.53

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Solution

The fourth proportional to 16,430.48, 22,684.46 and 12,646.53 is: 17,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.48 : 22,684.46 = 12,646.53 : x
  2. Step 2: Convert to fraction form
    16,430.48/22,684.46 = 12,646.53/x
  3. Step 3: Cross multiply
    16,430.48x = 22,684.46 × 12,646.53
  4. Step 4: Simplify right side
    16,430.48x = 286,879,640.69
  5. Step 5: Solve for x
    x = 286,879,640.69/16,430.48
  6. Step 6: Final answer
    x = 17,460.21

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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.