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Finding the Fourth Proportional to 24,017.32, 36,001.04 and 9,985

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Solution

The fourth proportional to 24,017.32, 36,001.04 and 9,985 is: 14,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.32 : 36,001.04 = 9,985 : x
  2. Step 2: Convert to fraction form
    24,017.32/36,001.04 = 9,985/x
  3. Step 3: Cross multiply
    24,017.32x = 36,001.04 × 9,985
  4. Step 4: Simplify right side
    24,017.32x = 359,470,384.40
  5. Step 5: Solve for x
    x = 359,470,384.40/24,017.32
  6. Step 6: Final answer
    x = 14,967.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.