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Finding the Fourth Proportional to 16,477.58, 22,737.62 and 9,762.08

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Solution

The fourth proportional to 16,477.58, 22,737.62 and 9,762.08 is: 13,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.58 : 22,737.62 = 9,762.08 : x
  2. Step 2: Convert to fraction form
    16,477.58/22,737.62 = 9,762.08/x
  3. Step 3: Cross multiply
    16,477.58x = 22,737.62 × 9,762.08
  4. Step 4: Simplify right side
    16,477.58x = 221,966,465.45
  5. Step 5: Solve for x
    x = 221,966,465.45/16,477.58
  6. Step 6: Final answer
    x = 13,470.82

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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.