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Finding the Fourth Proportional to 16,756.54, 23,117.59 and 9,585

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Solution

The fourth proportional to 16,756.54, 23,117.59 and 9,585 is: 13,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,756.54 : 23,117.59 = 9,585 : x
  2. Step 2: Convert to fraction form
    16,756.54/23,117.59 = 9,585/x
  3. Step 3: Cross multiply
    16,756.54x = 23,117.59 × 9,585
  4. Step 4: Simplify right side
    16,756.54x = 221,582,076.19
  5. Step 5: Solve for x
    x = 221,582,076.19/16,756.54
  6. Step 6: Final answer
    x = 13,223.62

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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.