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Finding the Fourth Proportional to 23,648.47, 32,633.40 and 13,038.11

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Solution

The fourth proportional to 23,648.47, 32,633.40 and 13,038.11 is: 17,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.47 : 32,633.40 = 13,038.11 : x
  2. Step 2: Convert to fraction form
    23,648.47/32,633.40 = 13,038.11/x
  3. Step 3: Cross multiply
    23,648.47x = 32,633.40 × 13,038.11
  4. Step 4: Simplify right side
    23,648.47x = 425,477,695.71
  5. Step 5: Solve for x
    x = 425,477,695.71/23,648.47
  6. Step 6: Final answer
    x = 17,991.77

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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.