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Finding the Fourth Proportional to 14,341.87, 19,798.47 and 9,569.77

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Solution

The fourth proportional to 14,341.87, 19,798.47 and 9,569.77 is: 13,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,341.87 : 19,798.47 = 9,569.77 : x
  2. Step 2: Convert to fraction form
    14,341.87/19,798.47 = 9,569.77/x
  3. Step 3: Cross multiply
    14,341.87x = 19,798.47 × 9,569.77
  4. Step 4: Simplify right side
    14,341.87x = 189,466,804.25
  5. Step 5: Solve for x
    x = 189,466,804.25/14,341.87
  6. Step 6: Final answer
    x = 13,210.75

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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.