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Finding the Fourth Proportional to 23,152, 31,949.76 and 12,541.63

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Solution

The fourth proportional to 23,152, 31,949.76 and 12,541.63 is: 17,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152 : 31,949.76 = 12,541.63 : x
  2. Step 2: Convert to fraction form
    23,152/31,949.76 = 12,541.63/x
  3. Step 3: Cross multiply
    23,152x = 31,949.76 × 12,541.63
  4. Step 4: Simplify right side
    23,152x = 400,702,068.51
  5. Step 5: Solve for x
    x = 400,702,068.51/23,152
  6. Step 6: Final answer
    x = 17,307.45

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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.