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Finding the Fourth Proportional to 23,280, 32,123.16 and 14,328.96

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Solution

The fourth proportional to 23,280, 32,123.16 and 14,328.96 is: 19,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,280 : 32,123.16 = 14,328.96 : x
  2. Step 2: Convert to fraction form
    23,280/32,123.16 = 14,328.96/x
  3. Step 3: Cross multiply
    23,280x = 32,123.16 × 14,328.96
  4. Step 4: Simplify right side
    23,280x = 460,291,474.71
  5. Step 5: Solve for x
    x = 460,291,474.71/23,280
  6. Step 6: Final answer
    x = 19,771.97

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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.