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Finding the Fourth Proportional to 16,435.80, 24,653.70 and 9,437.40

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Solution

The fourth proportional to 16,435.80, 24,653.70 and 9,437.40 is: 14,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.80 : 24,653.70 = 9,437.40 : x
  2. Step 2: Convert to fraction form
    16,435.80/24,653.70 = 9,437.40/x
  3. Step 3: Cross multiply
    16,435.80x = 24,653.70 × 9,437.40
  4. Step 4: Simplify right side
    16,435.80x = 232,666,828.38
  5. Step 5: Solve for x
    x = 232,666,828.38/16,435.80
  6. Step 6: Final answer
    x = 14,156.10

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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.