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Finding the Fourth Proportional to 23,565, 32,503.35 and 16,007.10

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Solution

The fourth proportional to 23,565, 32,503.35 and 16,007.10 is: 22,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565 : 32,503.35 = 16,007.10 : x
  2. Step 2: Convert to fraction form
    23,565/32,503.35 = 16,007.10/x
  3. Step 3: Cross multiply
    23,565x = 32,503.35 × 16,007.10
  4. Step 4: Simplify right side
    23,565x = 520,284,373.79
  5. Step 5: Solve for x
    x = 520,284,373.79/23,565
  6. Step 6: Final answer
    x = 22,078.69

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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.