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Finding the Fourth Proportional to 23,473.40, 32,390.22 and 14,038.52

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Solution

The fourth proportional to 23,473.40, 32,390.22 and 14,038.52 is: 19,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473.40 : 32,390.22 = 14,038.52 : x
  2. Step 2: Convert to fraction form
    23,473.40/32,390.22 = 14,038.52/x
  3. Step 3: Cross multiply
    23,473.40x = 32,390.22 × 14,038.52
  4. Step 4: Simplify right side
    23,473.40x = 454,710,751.27
  5. Step 5: Solve for x
    x = 454,710,751.27/23,473.40
  6. Step 6: Final answer
    x = 19,371.32

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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.